ERC BECE MATHEMATICS 2024

 ERC MATHEMATICS 2024:

Instruction: Answer all the questions in this section.

1.       What is the place value of 5 in the figure 2567894013? A. Five hundred thousand   B. five million  C. fifty million   D. Five hundred million

2.       Write 411 in roman numerals  A. CDXI  B. CDII   C. CXV  D. CDIX

3.       What is the greatest common factor of 42, 70 and 98?   A. 2  B. 4  C. 7  D. 14

4.       Identify the prime factor of 60  A. 3 and 5   B. 2, 3 and 5  C. 2 and 3  D. 1 and 2

5.       Express 360 as a product of its prime factor   A. 2³ x 3² x 5   B. 2² x 3³ x 5²  C.  2³ x 3² x 5²   D. 2⁴ x 3³ x 5

6.       Write 0.00682 in standard form  A. 6.82 x 10^-4  B. 6.82 x 10^-3  C. 6.82 x 10^-2   D. 6.82 x 10^-4    

7.       What is the H.C.F of 4m²n² and 8m²n²  A. 4mn  B. 4m²n²   C. 8 m²n²  D. 80mn

8.       Find the H.C.F of 54, 36 and 72  A. 18  B. 16  C. 12  D. 8

9.       Find the smallest number that can be completely divisible by 12, 15 and 25  A. 120  B. 150  C. 180  D. 300

10.   What is the least number that must multiply 84 to give a perfect square?  A. 2  B. 17  C. 21  D. 33

11.   Find the LCM of 12, 18 and 32   A. 288  B. 298   C. 299  D. 388

12.   Express 32 thousandths as a decimal number  A. 0.032  B. 0.0032  C. 0.00032   D. 32000

13.   \(\text{Find the square root of } 3\frac{6}{25}\ \ \text{A. } 1\frac{4}{5}\ \ \text{B. } 1\frac{3}{5}\ \ \text{C. } 1\frac{2}{5}\ \ \text{D. } 1\frac{1}{5}\)

14.   Simplify \(1\frac{3}{4} - \left(2\frac{1}{3} + 4\right)\ \ \text{A. } 2\frac{3}{4}\ \ \text{B. } 1\frac{3}{4}\ \ \text{C. } -2\frac{3}{4}\ \ \text{D. } -3\frac{3}{4}\)

15.   Which of the following fraction is equivalent to\(\frac{3}{5}?\ \ \text{A. } \frac{9}{27}\ \ \text{B. } \frac{12}{20}\ \ \text{C. } \frac{8}{16}\ \ \text{D. } \frac{4}{18}\)

16.   Express 0.03076 to three (3) significant figures   A. 0.030   B. 0.0307  C. 0.0308   D. 0.03078

17.   Change 91.3% to a decimal fraction    A. 0.913   B. 91.3  C. 913.0   D. 9130

18.   The  following graph represent   A. x ˂ 2  B x ≤ 2   C. x ≥ 2    D. x > 2

19.   Find the range of values of x which satisfies the inequality \(\frac{1}{2}x\)  + 5 ≤ 3  A. x ≤ - 4   B. x ≤ -1  C. x ≥ -1   D. x ≥ -4

20.   \(\text{Simplify } \frac{\sqrt{45}}{125}\ \ \text{A. } \frac{9}{25}\ \ \text{B. } \frac{3}{5}\ \ \text{C. } \frac{3}{4}\ \ \text{D. } \frac{4}{5}\)

21.   Express 0.000095 in standard form.   A. 9.5 x 10^-6   B. 9.5 x 10^-5   C. 9.5 x 10⁶     D. 9.5 x 10⁵

22.      If m = 2, n = 5 and y = 3, evaluate  \(\frac{m(n+y)}{nm}\)   A. 16.0   B. 1.6    C. 0.16   D. 0.016

23.   Which of the following numbers is non-rational A. √10   B. √64  C. 3/5   D. 0.02

24.   Evaluate 1101_two x  101_two A. 100001_two  B. 110001_two  C. 1000001_two   D. 1010011_two

25.   What is the bill of a house that consume 1000 units of electricity, if the first 100 units are charged at ₦10.00 per unit and the remaining unit at ₦5.00 per unit  A. ₦4500.00   B. ₦5000.00  C. ₦5500.00  D. ₦6000.00

26.   The ratio of sheep to goat on a farm is 5:8, if there are 50 sheep on the farm calculate the total number of livestock on the farm.  A. 130  B. 90  C. 80  D. 40

27.   A car travel for 500km on 50 litres of petrol. How many kilometers will it travel on 35 litres  A. 75km  B. 85km  C. 350km  D. 380km

28.   If it takes a driver 5 hours to drive a distance of 600km, calculate the average speed.  A. 100km/h   B. 120km/h   C. 150km/h  D. 180km/h

29.   A 50kg bag of rice is reduced by 15% find the quantity of the rice left  A. 42.5kg   B. 35kg  C. 29.5kg   D. 7.5kg

30.   Simplify 3a – 5(b – 2a) + 2b  A. a – 3b  B. a – 7b  C. 13a – 3b  D. 5a – 7b

31.   Factorize 24pq – 16p²  A. 8p(3q +2p)  B. 8p(3q – 2p)  C. 8(3pq + 2p)  D. 8(3pq – 2p²)

32.   Solve the following pair of simultaneous equation  2x – y = 5 and x – 2y = 4  A. x = - 2; y = -1   B. x = -2; y = 1   C. x = 2; y = 1  D. x = 2; y = - 1 

33.   An investor invested 200,000 in a company that pay 5% interest per annum. How much will he get after 3 years?  A. ₦230,000    B. ₦205,000   C. ₦170,000  D. ₦30,000

34.   R varies directly as S and inversely as T. if R = 8 when S = 4 and T = 3, then R is equal to _____ \(\text{A. } \frac{3T}{2S}\ \ \text{B. } \frac{3S}{3T}\ \ \text{C. } \frac{6S}{T}\ \ \text{D. } \frac{6T}{S}\)

35.   If the area of a square tile is 4cm². How many tiles is needed to cover a floor measuring 12m by 8m?  A. 600 tiles B. 2400 tiles  C. 28000  D. 3840 tiles

36.   Find the circumference of a circle whose diameter is 21cm.\(\pi = \frac{22}{7}\)  A. 22cm  B. 32cm  C. 33cm   D. 66cm 

37.   Find the perimeter of the triangle below.  A. 3cm  B. 4cm  C. 6cm  D. 12cm

38.   Calculate the area of the trapezium below   A.  720cm²   B. 360 cm²   C. 256 cm²  D. 180 cm² 

39.   (i) A rhombus has two (2) lines of symmetry  (ii) A kite has two (2) lines of symmetry (iii) A decagon has nine (9) sides  (iv) A sphere has four (4) angles.  Which of the above statement is correct  A. i    B. i, ii and iii    C. ii and iv   D. ii

40.   Which of the following shapes has equal sides?  A. Triangle  B. Kite   C. Rhombus  D. Hexagon

41.   The scale factor of two similar portraits is 2:5, if the area of the smaller portrait is 120cm². Calculate the area of the larger portrait.   A. 750cm²  B. 300 cm²   C. 60 cm²   D. 48 cm²

42.   A polygon with 8 sides is called _____  A. hexagon  B. octagon   C. pentagon  D. nonagon 

43.   ________ is the formula for calculating sum of interior angles of a polygon  A. (2n + 2)180°   B. (2n – 2) 180°   C. (n + 2) 180°   D. (n – 2) 180°

44.   How many vertices have cuboids?  A. 8  B. 12  C. 13  D. 14

45.   Find the value of x in the diagram below   A. 1.   B. 2   C. 3  D. 4

46.   The value of the angle marked θ in the diagram below is _____   A. 80°  B. 180°   C. 240°  D. 270°

47.   Find the value of θ in the diagram below.   A. 40°   B. 60°  C. 70°   D. 180°

48.   Complete the following set of Pythagorean tripe 5, 12, _____   A. 19  B. 16   C. 14  D. 13

49.   Which of the following angles can be constructed using a pair of compass and ruler only?  A. 85°  B. 95°  C. 105°  D.  117°

50.   What is the reciprocal \(\text{of } \frac{1}{2}r\ \ \text{A. } \frac{2}{r}\)  B. 2r   C. 1   D. -2

51.   If the bearing of A from B is 150°, what is the bearing of B from A?   A. 360°   B. 330°   C. 240°  D. 180°

52.   If P varies as Q and K is constant then the formula connecting P and Q is ______  A. P = KQ   B. P = K + Q   C. P = Q/K    D. P = K/Q  

53.   If the mean of 12, 15, x, 13 and 17 is 16, find the value of x.  A. 23  B. 19   C. 18  D. 14

The table below is recorded of the favorite games of some students in school

Types of Games	wrestling	Lawn Tennis	Football	Table Tennis	Athlete
Number of Students	2	4	24	16	4

Use the information to answer questions 54 – 56

54.   What game was the most favorite for most students?  A. wrestling  B. Lawn tennis  C. Table tennis   D. Football  

55.   What is the least liked by the students?  A. Wrestling   B. Lawn tennis  C. Football  D. Table tennis 

56.   What is the probability that a student picked at random from the school liked Lawn tennis most? A. 0.08  B. 0.2  C. 0.48  D. 0.16

57.   There are 10 red pens and 25 blue pens in a pack of 50 pens. If the rest of the pens are black. Find the probability of picking a black pen from the pack  A. 3/10  B. 3/6   C. 2/5  D. 7/10

58.   The probability that it will rain in a particular month is 0.68. what is the probability that it will not rain.  A. 0.48  B. 0.42  C. 0.32  D. 0.30

59.   The mode of the numbers 3, 5, 10, 5, 4, 3, 5, 6 and 8 is _____    A. 3  B. 4  C. 5  D. 6

60.   Find the median of the following set of numbers 5, 6, 4, 2, 3, 2, 8, 4, and 5  A. 8   B. 6  C. 5  D. 4

 

SECTION B: ESSAY

Instruction: Answer all Questions Each. Each question carries 10 mark.

Note: calculators are not allowed

1a. use the triangle below to answer the following questions

(i). What is the sum of all its sides and simplify the resulting algebraic expression?  

(ii). Calculate the value of x if the perimeter of the triangle is 46cm.

(iii) Calculate the length of each side of the triangle

b. Solve X² + 7x + 10 = 0 

2a. the pie chart bellows the distribution of a man’s monthly income.

(i). What is the size of the angle represented by OTHERS?

(ii). If the man’s monthly income is ₦180,000. How much does he spend on transportation?

(ii). What percentage of his monthly income does he save. Correct your answers to two (2) significant figures

b. \(\frac{6\frac{3}{4}}{\left(21\frac{1}{3} \times 2\frac{1}{4} - 21\right)}\)

3a. solve the equation  \(\frac{2(2x + 1)}{3} = \frac{x - 3}{2}\)

(ii). Find the reciprocal of 0.004

b. solve the simultaneous equation  3x + 2y = 5 and  2x – 3y = -1

4a. using a pair of compass and a ruler only construct a triangle <ABC such that ABC = 60°, <BAC = 45° and /AB/ = 5.6cm. measure /BC/ and /AC/.

b. make J the subject of the formula in the equation  T = ½AJ² + trs.   

ERC BECE MATHEMATICS 2025

Question 1:
Write 3025 in Roman numerals.

A. MMMXXV
B. MMMCCV
C. MMMXXV
D. CCXXV

👉 Click to view answer & explanation

Answer: A (or C)

Explanation:
Break the number into thousands, hundreds, tens, and units:
$3000 = \text{MMM}$
$0 = \text{ (no symbol)}$
$20 = \text{XX}$
$5 = \text{V}$
Combining them gives **MMMXXV**.

Question 2:
What is the value of the digit 8 in the figure 6.085?

A. hundred
B. tens
C. hundredth
D. tenth

👉 Click to view answer & explanation

Answer: C (hundredth)

Explanation:
In decimals, the positions to the right of the point are:
6 (Units) . 0 (Tenths) 8 (Hundredths) 5 (Thousandths).
Therefore, 8 represents $8 \times \frac{1}{100}$.

Question 3:
Write 0.07465 in its standard form.

A. $7.45 \times 10^2$
B. $7.465 \times 10^3$
C. $7.465 \times 10^{-2}$
D. $7.465 \times 10^{-3}$

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Answer: C (7.465 x 10^-2)

Explanation:
To write in standard form, move the decimal point until there is one non-zero digit to its left. Moving the point 2 places to the right gives $7.465$. Since we moved to the right, the exponent is negative: $7.465 \times 10^{-2}$.

Question 4:
Express 504 as a product of its prime factors in index form.

A. $2^2 \times 3^3 \times 7^1$
B. $2^4 \times 3^3 \times 7^1$
C. $2^3 \times 3^2 \times 7^1$
D. $2^5 \times 3^4 \times 7^1$

👉 Click to view answer & explanation

Answer: C (2^3 x 3^2 x 7^1)

Explanation:
Perform prime factorization:
$504 \div 2 = 252$
$252 \div 2 = 126$
$126 \div 2 = 63$
$63 \div 3 = 21$
$21 \div 3 = 7$
$7 \div 7 = 1$
So, $504 = 2 \times 2 \times 2 \times 3 \times 3 \times 7 = 2^3 \times 3^2 \times 7^1$.

Question 5:
Find the HCF of 21, 35 and 56?

A. 2
B. 5
C. 3
D. 7

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Answer: D (7)

Explanation:
List the factors for each number:
Factors of 21: 1, 3, **7**, 21
Factors of 35: 1, 5, **7**, 35
Factors of 56: 1, 2, 4, **7**, 8, 14, 28, 56
The Highest Common Factor shared by all three is **7**.

Question 6:
The number of students in a Secondary school in Bwari area Council is 5400. Express this figure as a product of its prime factor in the index form.

A. $2^3 \times 3^3 \times 5^2$
B. $2^2 \times 3^3 \times 5^2$
C. $2^2 \times 3^2 \times 5^2
D. $2^3 \times 3^3 \times 5$

👉 Click to view answer & explanation

Answer: A ($2^3 \times 3^3 \times 5^2$)

Explanation:
Break 5400 down into prime factors:
$5400 = 54 \times 100$
$54 = 2 \times 3 \times 3 \times 3 = 2^1 \times 3^3$
$100 = 2 \times 2 \times 5 \times 5 = 2^2 \times 5^2$
Combine them: $2^{(1+2)} \times 3^3 \times 5^2 = 2^3 \times 3^3 \times 5^2$.

Question 7:
Which of the following numbers is completely divisible by 9?

A. 18089
B. 18099
C. 18980
D. 19898

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Answer: B (18099)

Explanation:
A number is divisible by 9 if the sum of its digits is divisible by 9:
A: $1+8+0+8+9 = 26$ (No)
B: $1+8+0+9+9 = 27$ (Yes, $27 \div 9 = 3$)
C: $1+8+9+8+0 = 26$ (No)
D: $1+9+8+9+8 = 35$ (No)

Question 8:
Determine the numerator, when $18 \frac{7}{8}$ is converted to an improper fraction.

A. 127
B. 147
C. 151
D. 161

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Answer: C (151)

Explanation:
To convert a mixed number to an improper fraction, multiply the whole number by the denominator and add the numerator:
$\text{Numerator} = (18 \times 8) + 7$
$18 \times 8 = 144$
$144 + 7 = 151$
The improper fraction is $\frac{151}{8}$.

Question 9:
Simplify the expression $x^3 \times x^5$.

A. $x^{-8}$
B. $x^{-1}$
C. $x^{-2}$
D. $x^8

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Answer: D ($x^8$)

Explanation:
According to the laws of indices, when multiplying terms with the same base, you add the exponents:
$x^a \times x^b = x^{a+b}$
$x^3 \times x^5 = x^{3+5} = x^8$.

Question 10:
Ade scored 16 out of 30 sums correct. Express his score in percentage.

A. 85.3%
B. 73.3%
C. 63.3%
D. 53.3%

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Answer: D (53.3%)

Explanation:
To find the percentage, divide the score by the total and multiply by 100:
$\frac{16}{30} \times 100 = \frac{160}{3} = 53.333...\%$
To one decimal place, this is **53.3%**.

Question 11:
Evaluate $(111_2)^2$.

A. $110001_2$
B. $110010_2$
C. $11001_2$
D. $1010_2$

👉 Click to view answer & explanation

Answer: A ($110001_2$)

Explanation:
First, convert $111_2$ to base 10:
$(1 \times 2^2) + (1 \times 2^1) + (1 \times 2^0) = 4 + 2 + 1 = 7_{10}$.
Square the result: $7^2 = 49_{10}$.
Convert 49 back to binary:
$49 \div 2 = 24$ R 1
$24 \div 2 = 12$ R 0
$12 \div 2 = 6$ R 0
$6 \div 2 = 3$ R 0
$3 \div 2 = 1$ R 1
$1 \div 2 = 0$ R 1
Reading remainders upwards: **$110001_2$**.

Question 12:
Simplify $(2\frac{1}{2} + 1\frac{2}{3}) \div 1\frac{3}{4}$.

A. $3\frac{1}{2}$
B. $4\frac{1}{6}$
C. $2\frac{1}{2}$
D. $2\frac{8}{21}$ (Correct calculation result)

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Answer: D ($2\frac{8}{21}$)

Explanation:
1. Solve the bracket first: $\frac{5}{2} + \frac{5}{3} = \frac{15 + 10}{6} = \frac{25}{6}$.
2. Convert $1\frac{3}{4}$ to $\frac{7}{4}$.
3. Divide: $\frac{25}{6} \div \frac{7}{4} = \frac{25}{6} \times \frac{4}{7}$.
4. $\frac{100}{42} = \frac{50}{21} = 2\frac{8}{21}$.

Question 13:
Change 0.95 to fraction in its lowest term.

A. 95/100
B. 19/20
C. 15/20
D. 29/50

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Answer: B (19/20)

Explanation:
0.95 is written as $\frac{95}{100}$.
Divide both numerator and denominator by their HCF (5):
$95 \div 5 = 19$
$100 \div 5 = 20$
Result: **19/20**.

Question 14:
Find the sum of $10110_2$ and $10101_2$.

A. $100101_2$
B. $100111_2$
C. $101010_2$
D. $101011_2$

👉 Click to view answer & explanation

Answer: B ($100111_2$)

Explanation:
Perform binary addition:
  1 0 1 1 0
+ 1 0 1 0 1
-----------
1 0 0 1 1 1
(Note: $1+1 = 10$ in binary, so you write 0 and carry 1).

Question 15:
Find the range of values of $y$ which satisfy the inequality: $3y - 2 \le 5y + 4$

A. $y \ge -3$
B. $y \ge 3$
C. $y \le 2$
D. $y \le 3$

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Answer: A ($y \ge -3$)

Explanation:
1. Collect like terms: $3y - 5y \le 4 + 2$
2. Simplify: $-2y \le 6$
3. Divide by -2 (and flip the inequality sign): $y \ge \frac{6}{-2}$
4. Result: $y \ge -3$

Question 16:
What inequality does the number line below represent?

A. $x \le 2$
B. $x \le -2$
C. $x \ge -2$
D. $x \ge 2$

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Answer: C ($x \ge -2$)

Explanation:
A solid (shaded) circle indicates "equal to" ($\le$ or $\ge$). Since the arrow points to the right (towards larger numbers), it represents "greater than or equal to -2".

Question 17:
Find the $\sqrt{441}$

A. 3
B. 9
C. 17
D. 21

👉 Click to view answer & explanation

Answer: D (21)

Explanation:
You can check by squaring the options:
$20 \times 20 = 400$
$21 \times 21 = 441$
Therefore, $\sqrt{441} = 21$.

Question 18:
Write 37500 in standard form.

A. $3.75 \times 10^4$
B. $3.75 \times 10^3$
C. $3.75 \times 10^2$
D. $3.75 \times 10^0$

👉 Click to view answer & explanation

Answer: A ($3.75 \times 10^4$)

Explanation:
Move the decimal point from the end of the number to the left until it is after the first digit (3).
$37500 \rightarrow 3.7500$ (moved 4 places).
Since we moved left, the exponent is positive 4.

Question 19:
Evaluate $3^4$

A. 81
B. 64
C. 12
D. 7

👉 Click to view answer & explanation

Answer: A (81)

Explanation:
$3^4$ means multiplying 3 by itself four times:
$3 \times 3 \times 3 \times 3$
$9 \times 9 = 81$.

Question 20:
Simplify the expression $x^3 \times x^5$.

A. $x^{-8}$
B. $x^{-1}$
C. $x^{-2}$
D. $x^8$

👉 Click to view answer & explanation

Answer: D ($x^8$)

Explanation:
According to the First Law of Indices (Product Rule), when multiplying terms with the same base, you add their exponents:
$x^a \times x^b = x^{a+b}$
Applying this to the problem:
$x^3 \times x^5 = x^{3+5} = x^8$

Question 21:
The population of a state is 3,652,473. Write this figure to the nearest hundreds.

A. 3,700,000
B. 3,650,000
C. 3,652,500
D. 3,600,000

👉 Click to view answer & explanation

Answer: C (3,652,500)

Explanation:
To round to the nearest hundred, look at the digit in the tens place (7). Since 7 is 5 or greater, round up the digit in the hundreds place (4 becomes 5) and replace the following digits with zeros.

Question 22:
Evaluate $(p^2 + 3q)/2r$ given $p = 4, q = 3$ and $r = -5$.

A. -5
B. -5/2
C. 5/7
D. -11/5

👉 Click to view answer & explanation

Answer: B (-5/2)

Explanation:
Substitute the values: $\frac{4^2 + 3(3)}{2(-5)} = \frac{16 + 9}{-10} = \frac{25}{-10} = -\frac{5}{2}$.

Question 23:
Express 0.00853 to 1 significant figure.

A. 0.009
B. 0.0081
C. 0.0085
D. 0.008

👉 Click to view answer & explanation

Answer: A (0.009)

Explanation:
The first non-zero digit is 8. The following digit is 5, so we round the 8 up to 9. The result is 0.009.

Question 24:
Express 7/19 as a percentage, correct to 1 decimal place.

A. 2.7%
B. 3.7%
C. 27.1%
D. 36.8%

👉 Click to view answer & explanation

Answer: D (36.8%)

Explanation:
Multiply the fraction by 100: $(7 \div 19) \times 100 \approx 36.842\%$. Rounded to one decimal place, this is 36.8%.

Question 25:
Simplify: 3(a - 2b + c) - 2(a + 3b - 2c)

A. a - 3
B. a - 12b + 7c
C. a - 12b + 3c
D. a - 12b - 3c

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Answer: B (a - 12b + 7c)

Explanation:
1. Expand the first bracket: $3(a) + 3(-2b) + 3(c) = 3a - 6b + 3c$.
2. Expand the second bracket (be careful with the -2): $-2(a) - 2(3b) - 2(-2c) = -2a - 6b + 4c$.
3. Combine the results: $3a - 6b + 3c - 2a - 6b + 4c$.
4. Group like terms: $(3a - 2a) + (-6b - 6b) + (3c + 4c)$.
5. Final result: $a - 12b + 7c$.

Question 26:
Find the next 2 terms in the sequence 4, 8, 12, 16 —

A. 20, 24
B. 28, 32
C. 36, 40
D. 20, 22

👉 Click to view answer & explanation

Answer: A (20, 24)

Explanation:
The sequence follows a pattern of adding 4 to each preceding term (Arithmetic Progression).
$16 + 4 = 20$
$20 + 4 = 24$

Question 27:
Find the simple interest of ₦500 for 3 years at 4%.

A. ₦45
B. ₦60
C. ₦70
D. ₦72

👉 Click to view answer & explanation

Answer: B (₦60)

Explanation:
Use the formula: $I = \frac{P \times R \times T}{100}$
$I = \frac{500 \times 4 \times 3}{100} = 5 \times 4 \times 3 = 60$.

Question 28:
Mr. Obi sold a car for ₦84,000 at a loss of 4%; for how much did Mr. Obi buy the car?

A. ₦80,500
B. ₦80,640
C. ₦87,360
D. ₦87,500

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Answer: D (₦87,500)

Explanation:
The selling price (₦84,000) represents 96% of the cost price ($100\% - 4\% = 96\%$).
$Cost Price = \frac{Selling Price}{96} \times 100 = \frac{84,000}{96} \times 100 = 87,500$.

Question 29:
In a boutique, two (2) pairs of trousers and a packet shirt cost ₦17,000. The difference between three (3) pairs of trousers and a packet shirt is ₦8,000. Find the cost of a pair of trousers and two (2) packet shirts.

A. ₦19,000
B. ₦12,000
C. ₦9,000
D. ₦7,000

👉 Click to view answer & explanation

Answer: A (₦19,000)

Explanation:
Let $x$ be trousers and $y$ be shirts:
1) $2x + y = 17,000$
2) $3x - y = 8,000$
Add both equations: $5x = 25,000 \Rightarrow x = 5,000$.
Substitute $x$ into (1): $2(5,000) + y = 17,000 \Rightarrow y = 7,000$.
Cost of 1 trouser ($5,000$) and 2 shirts ($14,000$) = ₦19,000.

Question 30:
Adams runs a distance of 800m in 2½ minutes, calculate his speed.

A. 300m/minutes
B. 320m/minutes
C. 400m/minutes
D. 600m/minutes

👉 Click to view answer & explanation

Answer: B (320m/minutes)

Explanation:
$Speed = \frac{Distance}{Time}$.
$Time = 2.5$ minutes.
$Speed = \frac{800}{2.5} = 320$ m/min.

Question 31:
It takes five (5) girls eating the same ration six (6) days to finish a supply of food. How long will the supply last three (3) girls if they maintain the same ration?

A. 4 days
B. 5 days
C. 8 days
D. 10 days

👉 Click to view answer & explanation

Answer: D (10 days)

Explanation:
This is inverse proportion. Fewer girls will take more time to finish the food.
Total food "man-days" = $5 \text{ girls} \times 6 \text{ days} = 30 \text{ units of food}$.
Days for 3 girls = $30 \div 3 = 10 \text{ days}$.

Question 32:
What number should be in the box to make $13 + \square = 22$?

A. 9
B. 11
C. 13
D. 15

👉 Click to view answer & explanation

Answer: A (9)

Explanation:
To find the missing number, subtract 13 from 22:
$22 - 13 = 9$.

Question 33:
Find the sum of angles in an octagon.

A. 800°
B. 900°
C. 1080°
D. 1260°

👉 Click to view answer & explanation

Answer: C (1080°)

Explanation:
An octagon has $n = 8$ sides. Use the formula for the sum of interior angles: $(n - 2) \times 180°$.
$(8 - 2) \times 180° = 6 \times 180° = 1080°$.

Question 34:
The ratio of birds to livestock on Mr. Oni’s farm is 3:2. If there are 150 birds on the farm, how many livestock are there?

A. 600
B. 500
C. 250
D. 100

👉 Click to view answer & explanation

Answer: D (100)

Explanation:
The ratio is $\frac{\text{Birds}}{\text{Livestock}} = \frac{3}{2}$.
$\frac{150}{x} = \frac{3}{2}$
Cross multiply: $3x = 300 \Rightarrow x = 100$.

Question 35:
Find the value of $x$ in the figure below.

A. 22°
B. 56°
C. 34°
D. 112°

👉 Click to view answer & explanation

Answer: D (112°)

Explanation:
The angles $x$ and 68° lie on a straight line. The sum of angles on a straight line is 180°.
$x + 68° = 180°$
$x = 180° - 68°$
$x = 112°$.

Question 36:
The adjacent sides of a right angle triangle are 5cm and 12cm respectively. What is the length of the hypotenuse?

A. 13cm
B. 17cm
C. 45cm
D. 60cm

👉 Click to view answer & explanation

Answer: A (13cm)

Explanation:
Using the Pythagorean theorem: $a^2 + b^2 = c^2$, where $c$ is the hypotenuse.
$5^2 + 12^2 = c^2$
$25 + 144 = c^2$
$169 = c^2$
$c = \sqrt{169} = 13$ cm.

Question 37:
Find the size of the missing angle x° in the quadrilateral, in the figure below.

A. 104°
B. 360°
C. 256°
D. 420°

👉 Click to view answer & explanation

Answer: A (104°)

Explanation:
The sum of interior angles in any quadrilateral is 360°.
$97° + 74° + 85° + x = 360°$
$256° + x = 360°$
$x = 360° - 256°$
$x = 104°$.

Question 38:
Calculate the area of a parallelogram of base 12cm and 7cm high.

A. 19cm²
B. 38cm²
C. 42cm²
D. 84cm²

👉 Click to view answer & explanation

Answer: D (84cm²)

Explanation:
The area of a parallelogram is calculated using the formula: $Area = \text{base} \times \text{height}$.
$Area = 12\text{cm} \times 7\text{cm} = 84\text{cm}^2$.

Question 39:
What is the perimeter of the figure below?

A. 54cm
B. 44cm
C. 49cm
D. 32cm

👉 Click to view answer & explanation

Answer: A (54cm)

Explanation:
The perimeter is the total distance around the outside of the shape. To find it, we need the lengths of all sides:
1. Bottom: 15cm
2. Left: 12cm
3. Right: 7cm
4. Middle horizontal: 10cm
5. Top horizontal: Total width (15cm) - Middle width (10cm) = 5cm
6. Middle vertical: Total height (12cm) - Right height (7cm) = 5cm

Summing all sides: $15 + 12 + 5 + 5 + 10 + 7 = 54$cm.

Question 40:
Suppose that $\theta$ is an acute angle for which $\tan \theta = 3/5$, find $\sin \theta$.

A. $3/\sqrt{34}$
B. $5/\sqrt{34}$
C. $3/4$
D. $5/3$

👉 Click to view answer & explanation

Answer: A ($3/\sqrt{34}$)

Explanation:
1. Recall that $\tan \theta = \frac{\text{Opposite}}{\text{Adjacent}} = \frac{3}{5}$.
2. Find the hypotenuse ($h$) using Pythagoras' theorem: $h^2 = 3^2 + 5^2$.
3. $h^2 = 9 + 25 = 34$, so $h = \sqrt{34}$.
4. Since $\sin \theta = \frac{\text{Opposite}}{\text{Hypotenuse}}$, then $\sin \theta = \frac{3}{\sqrt{34}}$.

Question 41:
In the figure below, two equal angles are shown. These angles are:

A. alternate angles
B. corresponding angles
C. acute angles
D. vertically opposite angles

👉 Click to view answer & explanation

Answer: A (alternate angles)

Explanation:
The angles are located on opposite sides of the transversal line and between the two parallel lines. These are specifically called alternate interior angles, and they are equal when the lines are parallel.

Question 42:
What is the value of x in the figure below?

A. 180°
B. 85°
C. 90°
D. 60°

👉 Click to view answer & explanation

Answer: D (60°)

Explanation:
The figure shows a triangle with three equal sides (indicated by the tick marks). This is an equilateral triangle. In an equilateral triangle, all three interior angles are equal. Since the sum of angles in a triangle is 180°:
$x + y + z = 180°$
$3x = 180°$
$x = 180° / 3 = 60°$.

Question 43:
What is the diameter of a circle whose area is 616cm²?

A. 30cm
B. 25cm
C. 28cm
D. 14cm

👉 Click to view answer & explanation

Answer: C (28cm)

Explanation:
1. Area of a circle $A = \pi r^2$. Given $A = 616$ and $\pi = 22/7$:
$616 = \frac{22}{7} \times r^2$
2. $r^2 = \frac{616 \times 7}{22} = 28 \times 7 = 196$.
3. $r = \sqrt{196} = 14$cm.
4. Diameter $d = 2r = 2 \times 14 = 28$cm.

Question 44:
The radius of a cone is 6cm. Given that the height of the cone is 14cm and $\pi$ is 22/7. Calculate the volume of the cone.

A. 250cm³
B. 350cm³
C. 500cm³
D. 528cm³

👉 Click to view answer & explanation

Answer: D (528cm³)

Explanation:
Use the formula: $V = \frac{1}{3}\pi r^2h$
$V = \frac{1}{3} \times \frac{22}{7} \times 6^2 \times 14$
$V = \frac{1}{3} \times \frac{22}{7} \times 36 \times 14$
$V = 22 \times 12 \times 2 = 528$cm³.

Question 45:
The adjacent sides of a triangle are 12cm and 5cm respectively, calculate its hypotenuse.

A. 60cm
B. 30cm
C. 17cm
D. 13cm

👉 Click to view answer & explanation

Answer: D (13cm)

Explanation:
Using Pythagoras' theorem ($a^2 + b^2 = c^2$):
$12^2 + 5^2 = c^2$
$144 + 25 = 169$
$c = \sqrt{169} = 13$cm.

Question 46:
Find the value of $x$ in the figure below.

A. 180°
B. 21°
C. 138°
D. 18°

👉 Click to view answer & explanation

Answer: C (138°)

Explanation:
1. First, find the interior angle adjacent to 159°. Since they are on a straight line: $180° - 159° = 21°$.
2. Now you have two interior angles of the triangle: $21°$ and $21°$.
3. Find the third interior angle (let's call it $y$): $180° - (21° + 21°) = 180° - 42° = 138°$.
4. Since $x$ is vertically opposite to the third interior angle $y$, $x = 138°$.

Question 47:
Find the sum of interior angles of a regular pentagon.

A. 180°
B. 720°
C. 540°
D. 900°

👉 Click to view answer & explanation

Answer: C (540°)

Explanation:
Use the formula for the sum of interior angles: $(n - 2) \times 180°$.
For a pentagon, $n = 5$:
$(5 - 2) \times 180° = 3 \times 180° = 540°$.

Question 48:
Given that $v = u + at$, make $t$ the subject.

A. $t = (v - u)/a$
B. $t = (v + u)/a$
C. $t = (u - v)/a$
D. $t = u - av$

👉 Click to view answer & explanation

Answer: A (t = (v - u)/a)

Explanation:
1. Start with $v = u + at$.
2. Subtract $u$ from both sides: $v - u = at$.
3. Divide both sides by $a$: $t = \frac{v - u}{a}$.

Question 49:
Solve the simultaneous equations: $3x - y = 4$ and $x + 2y = 6$.

A. $x = 2, y = 2$
B. $x = 2, y = 3$
C. $x = 3, y = 2$
D. $x = 1, y = 2$

👉 Click to view answer & explanation

Answer: A (x = 2, y = 2)

Explanation:
Multiply the first equation by 2: $6x - 2y = 8$.
Add the second equation ($x + 2y = 6$) to it: $7x = 14 \Rightarrow x = 2$.
Substitute $x = 2$ into the first equation: $3(2) - y = 4 \Rightarrow 6 - y = 4 \Rightarrow y = 2$.

Question 50:
The bearing of a school farm from the library is 075°. Obtain the bearing of the library from the farm.

A. 015°
B. 075°
C. 105°
D. 255°

👉 Click to view answer & explanation

Answer: D (255°)

Explanation:
To find the back bearing, add 180° if the given bearing is less than 180°.
$75° + 180° = 255°$.

Question 51:
If the probability of scoring in a match is 0.8. What is the probability that they will not score in that particular match?

A. 1
B. 0.4
C. 0.2
D. 0

👉 Click to view answer & explanation

Answer: C (0.2)

Explanation:
The sum of the probability of an event happening and not happening is always 1.
$P(\text{not scoring}) = 1 - P(\text{scoring})$
$1 - 0.8 = 0.2$.

Question 52:
The sum of two numbers is 12. Their difference is 2, find the numbers.

A. 7, 5
B. 7, 8
C. 9, 3
D. 9, 4

👉 Click to view answer & explanation

Answer: A (7, 5)

Explanation:
Let the numbers be $x$ and $y$.
$x + y = 12$
$x - y = 2$
Adding both equations: $2x = 14 \Rightarrow x = 7$.
If $x = 7$, then $7 + y = 12 \Rightarrow y = 5$.

Question 53:
If 6 students bought a pen and a novel for ₦50 and ₦300 respectively. Find the total cost of the items.

A. ₦2100
B. ₦1100
C. ₦1000
D. ₦900

👉 Click to view answer & explanation

Answer: A (₦2100)

Explanation:
Cost for one student = $₦50 (\text{pen}) + ₦300 (\text{novel}) = ₦350$.
Total cost for 6 students = $350 \times 6 = ₦2100$.

Question 54:
If 4 is the mean of the following set of numbers 1, 2, x, 7, 6. What is the value of x?

A. 7
B. 8
C. 4
D. -4

👉 Click to view answer & explanation

Answer: C (4)

Explanation:
$\text{Mean} = \frac{\text{Sum of numbers}}{\text{Count of numbers}}$
$4 = \frac{1 + 2 + x + 7 + 6}{5}$
$4 = \frac{16 + x}{5}$
Multiply both sides by 5: $20 = 16 + x \Rightarrow x = 4$.

Question 55:
What is the range of the following set of numbers -2, -1, -5, 0, 2?

A. 7
B. 4
C. -4
D. 6

👉 Click to view answer & explanation

Answer: A (7)

Explanation:
$\text{Range} = \text{Highest value} - \text{Lowest value}$
Highest = 2, Lowest = -5
$\text{Range} = 2 - (-5) = 2 + 5 = 7$.

Question 56:
If $b$ is directly proportional to $a$ and $b = 10$ when $a = 2$, find $a$ if $b = 35$.

A. 7
B. 10
C. 14
D. 5

👉 Click to view answer & explanation

Answer: A (7)

Explanation:
1. Relationship: $b = ka$
2. Find constant $k$: $10 = k(2) \Rightarrow k = 5$.
3. Find $a$ when $b = 35$: $35 = 5a \Rightarrow a = 7$.

The pie chart below shows the record of animals in a ranch, use the chart to answer questions 57 to 60.

Question 57:
If there are 36 animals in the ranch, how many rabbits are there?

A. 120
B. 36
C. 24
D. 12

👉 Click to view answer & explanation

Answer: D (12)

Explanation:
The angle for Rabbit is 120°. Total angle in a circle is 360°.
Number of rabbits = $\frac{120}{360} \times 36$
$= \frac{1}{3} \times 36 = 12$.

Question 58:
What is the size of the angle represented by sheep?

A. 140°
B. 100°
C. 80°
D. 60°

👉 Click to view answer & explanation

Answer: C (80°)

Explanation:
The sum of angles in a circle is 360°. The "Cow" section has a right-angle symbol (90°).
$\text{Sheep} = 360° - (\text{Cow} + \text{Goat} + \text{Rabbit})$
$= 360° - (90° + 70° + 120°) = 360° - 280° = 80°$.

Question 59:
If an animal is picked at random from the ranch, what is the probability that it is a cow?

A. 1/2
B. 1/3
C. 2/5
D. 1/4

👉 Click to view answer & explanation

Answer: D (1/4)

Explanation:
Probability = $\frac{\text{Angle of Cow}}{\text{Total Angle}}$
$= \frac{90}{360} = \frac{1}{4}$.

Question 60:
How many goats are in the ranch?

A. 6
B. 7
C. 8
D. 10

👉 Click to view answer & explanation

Answer: B (7)

Explanation:
Number of goats = $\frac{\text{Angle of Goat}}{360} \times \text{Total Animals}$
$= \frac{70}{360} \times 36$
$= \frac{70}{10} = 7$.

Section B: Essay - Question 1

Question 1:
The scores obtained by some students in a mathematics test are given below:
4, 5, 6, 9, 7, 5, 8, 6, 5, 7, 6, 7, 5, 6, 10, 5, 6, 7, 6, 8, 4, 6, 10, 9, 8, 7, 9, 8, 6, 7

a. Prepare a frequency distribution table.
b. Find: i. Range of the scores, ii. Mode of the scores, iii. Mean of the scores, iv. Probability of selecting a student who scored 7.

👉 Click to view Frequency Table & Solutions

a. Frequency Distribution Table

Score ($x$)	Tally	Frequency ($f$)	$f \times x$
4	||	2	8
5	|||| |	5	25
6	|||| |||	8	48
7	|||| |	6	42
8	||||	4	32
9	|||	3	27
10	||	2	20
Total		$\sum f = 30$	$\sum fx = 202$

b. Solutions:

i. Range: Highest (10) - Lowest (4) = 6.

ii. Mode: The score with the highest frequency (8) is 6.

iii. Mean: $\bar{x} = \frac{\sum fx}{\sum f} = \frac{202}{30} = \mathbf{6.73}$

iv. Probability: $P(\text{score of 7}) = \frac{6}{30} = \mathbf{1/5}$ (or 0.2).

Section B: Essay - Question 2

Question 2:
a. If the sum of two numbers is 60 and the positive difference between the numbers is 20. Determine the numbers.
b. Make $f$ the subject of the formula: $\frac{1}{u} = \frac{1}{f} - \frac{1}{v}$

👉 Click to view solutions

a. Determining the Numbers:

Let the two numbers be $x$ and $y$.
Equation 1: $x + y = 60$
Equation 2: $x - y = 20$

Adding Equation 1 and Equation 2:
$2x = 80$
$x = \frac{80}{2} = 40$

Substitute $x = 40$ into Equation 1:
$40 + y = 60$
$y = 60 - 40 = 20$

The numbers are 40 and 20.

---

b. Changing the Subject of the Formula:

Given: $\frac{1}{u} = \frac{1}{f} - \frac{1}{v}$

1. Isolate $\frac{1}{f}$ by adding $\frac{1}{v}$ to both sides:
$\frac{1}{f} = \frac{1}{u} + \frac{1}{v}$

2. Find a common denominator for the right side ($uv$):
$\frac{1}{f} = \frac{v + u}{uv}$

3. Take the reciprocal of both sides to solve for $f$:
$f = \frac{uv}{v + u}$ (or $f = \frac{uv}{u + v}$)

Section B: Essay - Question 3

Question 3:
a. A ladder 5m long leans against an electric pole. If the distance between the foot of the ladder and that of the electric pole is 4m, how far up the electric pole does the ladder reach?
b. Calculate the simple interest on ₦450.00 for 1½ years at 8% per annum.
c. Convert $110111_{two}$ to base ten.

👉 Click to view solutions

a. Pythagorean Theorem Problem:

This forms a right-angled triangle where the ladder is the hypotenuse ($c = 5$m) and the distance on the ground is the base ($b = 4$m). We need to find the height ($a$).
$a^2 + b^2 = c^2$
$a^2 + 4^2 = 5^2$
$a^2 + 16 = 25$
$a^2 = 25 - 16 = 9$
$a = \sqrt{9} = 3$m.
The ladder reaches 3m up the pole.

---

b. Simple Interest Calculation:

Principal ($P$) = ₦450, Rate ($R$) = 8%, Time ($T$) = 1.5 years (1½)
$I = \frac{P \times R \times T}{100}$
$I = \frac{450 \times 8 \times 1.5}{100}$
$I = \frac{450 \times 12}{100}$
$I = \frac{5400}{100} = 54$
The simple interest is ₦54.00.

---

c. Number Base Conversion ($110111_2$ to Base 10):

Multiply each digit by 2 raised to its position power:
$(1 \times 2^5) + (1 \times 2^4) + (0 \times 2^3) + (1 \times 2^2) + (1 \times 2^1) + (1 \times 2^0)$
$= 32 + 16 + 0 + 4 + 2 + 1$
$= 55$
$110111_{two} = 55_{ten}$.

Section B: Essay - Question 4

Question 4:
a. How many liters can be held by a cylindrical can 7cm in diameter and 30cm high? (Take $\pi = 22/7$)
b. Calculate the number of sides in a regular polygon whose one interior angle is 160°.

👉 Click to view solutions

a. Volume of a Cylinder (in Liters):

1. Given: Diameter = 7cm, so Radius ($r$) = $7/2$cm = 3.5cm. Height ($h$) = 30cm.
2. Formula: $V = \pi r^2 h$
$V = \frac{22}{7} \times \frac{7}{2} \times \frac{7}{2} \times 30$. (check denominator that can divide the numerator and cancel out to reduce the numbers)
$V = 11 \times 7 \times 15 = 1155$ cm³.
3. Convert to Liters: Since $1000 \text{cm}^3 = 1 \text{Liter}$:
$V = \frac{1155}{1000} = 1.155$
The can can hold 1.155 liters.

---

b. Number of Sides of a Regular Polygon:

1. Find the exterior angle first (Interior + Exterior = 180°):
$\text{Exterior angle} = 180° - 160° = 20°$.
2. Use the formula: $n = \frac{360°}{\text{Exterior angle}}$:
$n = \frac{360}{20} = 18$
The polygon has 18 sides.

WAEC Data processing 2024

 

1. The Stepped Reckoner was developed by A. Gottfied Leibnitz. B. Herman Hollerith C. John Von Neumann  D. William Schickard
2. The binary number 100101 can be written in denary as
   A. 25  B. 37  C. 45  D. 211
3. The first stage in computer data processing procedure is
   A. collection of data  B. communication of information  C. conversion of data  D. manipulation of data
4. One advantage of electronic data processing is that it
   A. involves special skill  B. deals only with simple data  C. is completely error-free  D. handles complex data
5. The type of computer that has the ability of counting in discrete form is referred to as
   A. analogue computer  B. digital computer  C. hybrid computer  D. versatile computer
6. One reason for using Computer Aided Design in manufacturing is that
   A. it uses few system resources  B. manufacturing time is reduced  C. designers do not need training to use it  D. 3D designs are easily produced with it
7. Which one of the following statements is true about Voice Over IP? It
   A. converts voice and video data into a digital signal and transfers it over the Internet
   B. converts voice and video data into a digital signal and broadcasts it via a transmitter
   C. is a voice over communication system which is cyber-attack proof
   D. is a circuit-switched data communication system
8. Which one of the following sets of devices can be used to store data during processing?
   A. Cache, RAM and Register  B. Cache, Register and ROM  C. Flash Drive, ROM and Hard Disk Drive  D. RAM, Register and Zip Drive
9. The process of inspecting, transforming and modeling data to get useful information is known as
   A. collation  B. interpretation  C. execution  D. analysis
10. One disadvantage of using computer for information processing is
    A. need for staff retraining  B. increased running cost in the long run  C. the increase in storage space  D. redundancy of computers in the long run
11. The diagram in Figure 1 illustrates process called 
    
    A. information processing  B. information transmission  C. modulation  D. synchronization
12. The transmitter in communication is the component that
    A. decodes sender's signal by interpretation  B. encodes interpreted data by using machine language  C. broadcasts synchronous signals  D. launches signal into the air
13. Which of the following resources is not usually shared in a network?
    A. VGA projector  B. Laserjet printer  C. Folder  D. File
14. Factors to be considered when creating a backup system in a computer network include
    A. amount of RAM, amount of data and time of backup
    B. amount of RAM, type of data and frequency of backup
    C. media to use, amount of data and frequency of backup
    D. media to use, type of data and time of backup
15. The URL www.exams.edu.ng represents the website of
    A. an examination body  B. a Nigerian-based learning institution  C. an educational institution in Niger  D. a research institution in Niger
16. The Post Office Protocol (POP) is used to
    A. interconnect devices on the Internet  B. retrieve email from a mail server  C. transfer file from a server to a client  D. send email from one user to another
17. A user working on a computer that is running on Windows 7 issued the command Ctrl + Alt + Del while typing a document.
    What interface is expected to be displayed on the screen?
    A. Restart Windows  B. Shut Down Windows  C. Windows Security  D. Windows Task
18. Header and Footer are added to a document in MS Word by just clicking on the
    A. Edit menu  B. Format menu  C. Insert menu  D. View menu
19. A typist positioned the insertion point at the beginning of a line of text in a word processor and then pressed down the Shift key and clicked at the opposite end of the text. What would be the result of this action? The text will be
    A. copied into the clipboard  B. cut into the clipboard  C. deleted from the storage  D. highlighted on the screen
20. The Microsoft Excel menu bar icon shown in Figure 2 is used to
    
    
    
    A. automatically add up selected values  B. create label that spans multiple columns  C. spot trends and patterns in user's data using bars, columns and icons  D. organize data for easy analysis
21. To add a new column to the right of the IGR column on the interface in the figure above, the user would
    
    
    
    A. right-click on cell C1 and then click on insert  B. right-click on cell D1 and then click on insert  C. right-click on column C and then click on insert  D. right-click on column D and then click on insert
22. The function of the foreign key in a database is to
    A. uniquely identify tuples in a table  B. provide a link between data in two tables  C. uniquely identify an entity occurrence  D. uniquely identify each record in a table
    
    
    
23. How many primary keys exist in the figure above?
    A. 3  B. 4  C. 5  D. 12
    
    
    
24. Which of the following lists contains the primary keys in the figure above?
    A. Customers, Orders, and Products  B. CustomerId, OrderId, ProductId  C. CustomerId, FirstName, LastName and DateCreated  D. Customers, CustomerId, FirstName, LastName, and DateCreated
25. Web design packages include the following, except
    A. Macromedia Dreamweaver  B. iWeb  C. Front Page  D. Adobe PageMaker
    
    
    
26. The part labelled IV in the image above is used to
    A. shape objects  B. select and transform objects  C. draw lines and curves  D. create texts
27. One precautionary measure taken when cleaning a monitor is
    A. covering the monitor with antiglare  B. cleaning the monitor with alcohol  C. unplugging the power supply cable  D. using a vacuum cleaner to dust the monitor casing
28. Which one of the following practices is considered ethical?
    A. gaining access into school database to change one's grades
    B. gaining access into government database to alter personal details
    C. logging into a friend's social media account to read inbox messages
    D. signing into school e-library to read e-books
29. Proper network implementation and good ICT policies are types of
    A. adaptive measures  B. corrective measures  C. perfective measures  D. preventive measures
30. Preventive maintenance measures in the computer room include the following options except
    A. good ventilation  B. proper illumination  C. the use of rugs  D. the use of tiles
31. A database administrator is responsible for the following tasks except
    A. controlling and monitoring user access to the database
    B. enrolling users and maintaining system security
    C. maintaining archived data
    D. maintaining connection between the local network and the Internet
32.  Measures taken to avoid eye strain include the following except
    A. adjusting the brightness of the monitor
    B. adjusting the height of the screen
    C. blinking of eyes often
    D. relaxing the body regularly
33. A computer virus replicates itself into other programs or certain areas on the disk during the
    A. dormant phase  B. execution phase  C. propagation phase  D. trigger phase
34. A malware that copies and replicates itself using computer networks and security flaws is
    A. Rootkit virus  B. Spyware  C. Trojan horse  D. Worm
    
    
    
35. The entities in the figure above are named
    A. RegNo, Name and Age  B. Musa, Uche and Bayo  C. Student and Subject  D. Maths, Eng and DP
36. Which one of the following statements is true about database tables?
    A. All the tables in a database have a common name
    B. A table may contain repeating groups
    C. Entries in a column are from different domains based on datatype
    D. There are no duplicate rows in a table
37. The major difference between serial and sequential files is that sequential files are
    A. given a key  B. sorted in a particular order  C. stored as they come  D. recorded in any storage medium
38. Which one of the following pairs contains computer file classification?
    A. Master file and serial file  B. Random file and master file  C. Reference file and random file  D. Transaction file and master file
39. Which of the following statements supports the goals of data backup?
    I. Need for duplication  II. Need for future reference  III. Protection against data loss  A. I and II only  B. I and III only  C. II and III only  D. I, II and III
40. Which of the following characteristics is associated with the architecture of parallel database?
    A. Communication cost and problems cannot be ignored
    B. Machines can be far from each other
    C. Machines are physically close to each other
    D. It is usually associated with shared-nothing architecture

 

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SS2 Data Processing First Term Lesson Note

 

 

DATA MODEL

A model is like a blueprint of a more complex real-world object or event.

A data model is a visual blueprint that defines the structure and relationships of data within a system, like a database or application. It defines how data is connected to each other and how they are processed and stored inside the system.

A data model documents and organizes data, how it is stored and accessed, and the relationships among different parts of data.

Think of it like that of an architect's blueprint for a building; it doesn't build the house itself, but it provides a clear, standardized plan for how everything should be organized and connected.