Common Entrance Mathematics 2021

 

MATHEMATICS (NCEE) Time allowed: 60 minutes

1.      Change 478 to Roman numerals.  A. DCLXXXVIII  B. CDLXXVIII   C. DCLXXVII   D. CDLXXXVIII   E. DCLXXVII

2.      Write in words 4,690,852.  A. Four million, sixty-nine thousand, eight hundred and fifty-two    B. Four million, six hundred and nine thousand, eight hundred and fifty-two     C. Four million, six hundred and ninety thousand, eight hundred and two   D. Four million, six hundred and ninety thousand, eight hundred and fifty-two      E. Four million, nine hundred and sixty thousand, eight hundred and fifty-two

3.      What is the place value of 6 in 123.64? A. Hundreds  B. Hundredth  C. Tens  D. Tenth  E. Thousands

4.      Which of the following numbcrs, 0, 12, 5, -12, -5 is the lowest? A. 12  B. 5  C. 0  D. -5  E. -12

5.      If a sachet of semovita costs ₦700.00, what will be the cost of 20 sachets?  A. ₦10,000.00  B. ₦12,000.00  C. ₦ 14,000.00  D. ₦ 20,000.00  E. ₦21,000.00

6.      Convert 5 days into hours,  A. 10  B. 12  C. 50  D. 100  E. 120.

7.      Which of the following numbers is a perfcct square? A, 54  B. 70  C. 86  D. 90  E. 121

8.      Simplify √1¹¹/₂₅   A. 7⅕  B. 1⅕  C. 5/6   D. 2/5   E. 1/3

9.      Find the value of 4 + √16 – 3    A. 2  B. 3   C. 4   D. 5  E. 6

10.  Find the value of √12¼ +√1⁹/₁₆   A. 1½  B. 1¾   C. 2¼  D. 3¾   E. 4¾

11.  If a baby is born on the first of July 2014. How old will he be on the 3 1st December 2014?  A. 4 months   B. 5 months   C. 6 months  D. 7 months  E. 8 months

12.  If the price of a pair of school sandals is reduced from ₦2,000.00 to ₦1,500.00. how much is reduce?  A. ₦1,500.00   B. 1,000.00  C. 750.00  D. 500.00   E. 250.00

13.  The addition of 8¼ to a certain number give 10½. Find the number   A. 5½   B. 2¾   C. 2½   D. 2¼   E. 1⅓  

14.  A boy needs 2½ metres of cloth to make his uniform. How many metres of cloth will be needed for 5 boys?  A. 12 ½   B. 7 ½  C. 5 ½  D. 3 ½  E. 2 ½ 

15.  A trader bought a basket of tomatoes for ₦10,000.00 and paid 5% tax. How much did he pay as tax?   A. ₦500.00   B. ₦1000.00   C. 1,500.00   D. 5,000.00   E. 10,500.00

16.  If 100 envelops cost ₦1,000.00. what will be the cost of 650 envelopes?  A. ₦1,000.00   B. 1,500.00  C. 2,000.00  D. 3,250.00 E. 6,500.00

17.  Arrange ³/₅ , ²/₃, ⅓, ⁵/₆, ¹/₁₅ in descending order of magnitude.   A. ¹/₁₅, ⁵/₆, ³/₅, ²/₃. ⅓ B. ²/₃, ³/_5, ⁵/₆, ¹/₁₅, ⅓ C. ⁵/₆, ²/₃, ³/₅, ⅓, ¹/_15,   D. ⅓, ²/₃, ³/₅, ¹/₁₅, ⁵/₆  E. ³/₅, ²/₃, ⁵/₆, ¹/₁₅, ⅓

18.  Find the lowest Common Multiple (L.C.M) of 12 and 18.  A. 46,656    B. 1,296   C. 36  D. 18   E. 6

19.  If 20% is given on an article which cost ₦20,000.00, how much will a buyer pay for the article? A. 15,600.00  B. 16,000.00   C. 16,400.00 D. 16.600.00  E. N 18.000.00

20.  Find the value of x in equation x/5 = 24/40   A.12   B. 9  C. 6  D. 3  E. 1

21.  Which of the following is divisible by 8 without a remainder? A. 38   B. 49   C. 58   D. 64    E. 84 

22.  Find the value of x, if 6x + 7 = 25  A. 3  B. 6  C. 12  D. 18  E. 32

23.  Ochuko is 32 years old and her sister is 14 years old. What was the sum of their ages 5 years ago   A. 66 years   B. 46 years  C. 36 years   D. 26 years  E. 18 years

24.  Which of the following numbers, 29, 33, 49, 57, 69, is a prime number?  A. 29   B. 33   C. 49   D. 57   E. 69

25.  Find the value of x in the equation x + 2½ = 2  A. 5/3   B. ⅔  C. 1/3  D. -½  E. – ⅓

26.  Simplify 2a + b, when a = 3 and b = 2  A. 2  B. 3  C. 4  D. 6   E. 8

27.  Calculate the area of the triangle below A. 7.5cm²  B. 30.0cm²  C. 60.0cm²  D. 78,0cm²  E. 165.0cm²

28.  If x:2 = 12:4, find the value of x  A. 2  B. 3  C. 4  D. 6   E. 24

29.  If 3y =150, what is the value of y-2?   A. 48  B. 49  C. 50  D. 51  E. 52

30.  Find the value of k in the figure below  A. 77°   B. 90°   C. 87°  D. 3°   E. 187°

31.  How many lines of symmetry does a square have?  A. 0  B. 1   C. 2  D. 3  E. 4

32.  Calculate the volume of a cylinder whose radius is 3cm and the perpendicular height is 7cmTake (π =22/7)  A. 132cm³  B. 162cm³  C. 198cm³   D. 203cm³  E. 300cm³

33.  Find the area of the shaded portion in the diagram below A. 14cm²    B. 21 cm²  C. 39 cm²  D. 40 cm²    E. 60 cm²

34.  The area of a rectangle is 24 cm². If the breath is 3cm, find the length.  A. 9 cm.  B. 8 cm.  C. 6 cm.  D. 3cm    E. 2 cm.

35.  Find the height of the trapezium below if its area is 28cm²   A. 2.5cm    B. 3.5cm   C. 4.5cm   D. 5.5cm  E. 6.5cm

36.  Calculate the value of P in the diagram below   A. 60cm  B. 17cm   C. 13cm  D. 11cm  E. 7cm

37.  What is the sum of the angles in a triangle  A. 180°  B. 120°  C. 90°  D. 60°  E. 45°

38.  What is the name of the shape below? A. complete triangle   B. equilateral triangle   C. Isosceles triangle   D. Right-angled triangle   E. scalene triangle

39.  Find the mode of the following numbers 3, 7, 3, 5, 4, 3, 4, 6, 9  A. 3   B. 4  C. 5  D. 7  E. 9

40.  Find the average of the set of numbers: 22.44,66, 12.  A. 42 B. 36  C. 28 D. 22 E. 18

 

 

Common Entrance Mathematics 2022

MATHEMATICS (NCEE) Time allowed: 60 minutes

1.      What is MCMXCII in Hindu –Arabic numerals system?  A. 1192  B. 1902  C. 1009  D. 1992  E. 1999

2.      Which of these numbers: 1, 3, 6, 11 and 12 are prime numbers? A. l and 3  B. l and 11  C. 3 and 11  D. 1,3 and 11  E. 6, 1l and 12

3.      Change 120 seconds to minute(s).  A. 1   B. 2  C. 6  D. 12  E. 60

4.      Arrange the following fractions in descending order: ¼, ½, ¾, ⅔A. ¾, ⅔, ½, ¼   B. ¼, ½, ⅔, ¾   C. ⅔, ¾, ½, ¼   D. ¾, ⅔, ¼, ½   E. ⅔, ¾, ¼, ½

5.      If a cup costs 2 pounds and the rate of exchange is a pound to six hundred and forty naira, find its cost in naira. A. 320.00  B. 638.00  C. 642.00  D. 1,140.00  E. 1,280.00

6.      Find the even number between 19 and 41 that is a multiple of 7. A. 26  B. 28  C. 34  D. 36  E. 38

7.      Find the square root of 2¼   A. 1/8   B. ¼   C. ½   D. 1¼   E. 1½

8.      Calculate the simple interest on ₦800.00 for 4 years at the rate of 6% per annum.  A. ₦ 186.00  B. ₦ 192.00  C. ₦ 196.00  D. ₦220.00  E. ₦232.00

9.      If two-third of a number is 60, what is one-sixth of that same number?   A. 75 C. 45   B. 60   D. 30   E. 15

10.  The H.C.F. of two numbers is 3. Which of the following pairs represents the two numbers in the options below?  A. 12 and 17   B. 10 and 20  C. 9 and 15   D. 8 and 12  E. 4 and 6

11.  25% of ₦500.00 is less than one of the following by ₦80.00. A. ₦ 195.00   B. ₦ 205.00   C. ₦ 225.00  D. ₦ 230.00  E. ₦ 240.00

12.  Change ₦32.08 to kobo.   A. 320   B. 328  C. 330  D. 3.208   E. 3,280

13.  How many ₦10.00 added up to make ₦1,000.00?  A. 10  B. 50  C. 100  D. 110  E. 1,000

14.  Change 7½ % to fraction in its lowest term. A. ½  B. 3/20   C. 1/20  D. 3/40   E.1/40

15.  Convert 8 weeks 8 days to days.  A. 64   B. 56   C. 48  D. 39  E. 28

16.  The marked price of an article is ₦8,200.00. if a customer receives ₦410.00 as a discount on the article, what percentage is the discount?  A. 4   B. 5  C. 6  D. 8  E. 10

17.  Subtract 8cm 7mm from 42 cm 5mm.  A. 34 cm 8 mm.  B. 34 cm 13 mm  C. 33 cm 98 mm   D. 33 cm 8 mm  E. 32 cm 15 mm

18.  A man drives his car at an average speed of 76 km/h. Calculate the distance covered in 3 hours.  A. 22 km  B. 76 km  C. 228 km  D. 266 km  E. 304 km

19.  Three boys shared certain numbers of mangoes in the ratio 5: 3: 2. If the one with the smallest ratio received 40 mangoes, find the number of mangoes shared.  A. 80  B. 100  C. 120  D. 160  E. 200

20.  Bola bought six books at ₦45.00 cash and sold them for ₦230.00. How much does she loss? A. ₦50.00   B. ₦45.00  C. ₦40.00   D. ₦30.00  E. ₦5.00

21.  Evaluate ⅔ * ¾ + ⅚ ÷ ⅔   A. 1¾   B. 1⅔  C. 1½   D. ⅚   E. ⅔

22.  If -2x = 6, find the value of x.  A. -12   B. -3   C. 3  D. 6  E. 12

23.  Solve for x if 3 = 15x - 2.  A. 1/5  B. 1/3   C. 2/5  D. 1/2  E. 2/3

24.  Given that the area of a rectangle is 42cm² and its breadth is 6cm, find its length .  A. 3cm    B. 5cm   C. 7cm   D. 9   E. 12cm

25.  Find the area of the shaded portion in the diagram below A. 72 cm²    B. 65cm²  C. 54cm²   D. 48 cm²   E. 36cm²         

           

26.  Solve the equation: 2x = 30 - 3x.  A. 5  B. 6  C. 9  D. 11   E. 15

27.  Find the circumference of a circle whose radius is 10.5cm (Take )   A, 21cm   B. 32cm C.33cm   D. 66cm   E. 173cm.

28.  If y – 8 = 12, what is the value of y?  A. 4   B. 6   C. 8  D. 12  E. 20

29.  How many faces does a cube have?  A. 2  B. 4  C. 5  D. 6  E. 8

30.  Find the area of a rectangle whose length is 8cm and breadth 4 cm. A. 32 cm²  B. 30 cm²  C. 24 cm²  D. 18 cm²  E. 12 cm²

31.  What is a five-sided polygon called?  A. Decagon   B. Heptagon  C. Hexagon  D. Octagon  E. Pentagon

32.  A rectangle has how many lines of symmetry?  A. 1  B. 2  C. 3  D. 4  E. 5

33.  Find the volume of a cylinder whose base area is 84 cm² and height 6cm. [Take A. 78cm²  B. 90cm²   C. 240cm²  D. 404cm²  E. 504cm²

34.  Find the area of a circle whose diameter is 7cm.  A. 154.0 cm²  B. 77.0 cm²  C. 58.5 cm  D. 40.0 cm²  E. 38.5 cm²

35.  What is the height of a triangle whose area is 144 cm² and base 16 cm? A. 10 cm  B. 12 cm  C. 14 cm  D. 16 cm  E. 18 cm

36.  Ese is 24 years old and her younger sister is 18 years old. What was the sum of their ages 12 years ago?   A. 14 years  B. 15 years   C. 16 years  D. 17 years  E. 18 years

37.  Find the value of x in the shape below.   A. 30°  B. 45°  C. 60°   D. 116°   E. 130°

38.   Calculate the area of the triangle below. A. 45 cm²   B. 60 cm²  C. 90 cm²  D. 120 cm²  E. 180 cm²

39.  What is the average of the following set of numbers: 6, 3, 2, 5, 5, 6, 8?  A. 2  B. 3  C. 5  D. 6  E. 7

40.  Find the mode of the following set of numbers: 3, 2, 1, 0, 2, 3, 4, 2, 4? A. 0  B. 1   C. 2  D. 3   E. 4