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

 

  

Common Entrance Mathematics 2023

2023 mathematics

MATHEMATICS (NCEE) Time allowed: 60 minutes

1.      Multiply 12 by 3 and express your answer in Roman numeral. A. XVI B. XXIV C. XXVI D. XXXIV E. XXXVI

2.      What are the prime factors of 24?  A. 1,2 B. 1, 2,3 C. 1,2,3, 4 D. 2,3 E. 2,3, 4

3.      How many seconds are there in 60minutes?   A. 3,600 B. 2,800 C. 2,160 D. 2,000 E. 1,500

4.      Express 0.6 as a fraction. A.1/5  B. 2/5  C.3/5  D. 4/5 E. 6/5

5.      Abubakar received 8 pounds for his birthday. How much did he receive if 1 pound is ₦450.00? A. ₦5,300.00   B. ₦4,580.00   C. ₦3,700.00 D. ₦3,600.00 E. ₦2,300.00

6.      Find the odd number between 17 and 34 that is a multiple of 11  A. 19  B. 21  C. 22 D. 27 E. 33.

7.      Find the sum of the square root of 625 and the square of 9. A. 106 B. 100 C. 81 D. 34 E. 308.

8.      8 men can plough a field in 10 hours. How long will it take 4 men, if they all work at the same rate? A. 25hours   B. 20hours  C. 15hours  D. 10hours  E. 5 hours

9.      If a man earns N33, 000.00 per month and spends ⅓ of his salary on bills, how much does he have left? A. N33,000.00   B. N30,000.00   C. N22,000.00   D. N15,000.0 0   E. N1,000.00

10.  Find the H.C.F. of 108, 27 and 9   A. 9  B. 7  C.5  D. 3 E.2

11.  Victor bought a blue pen at ₦50.00 and sold it for N 30.00. What is the percentage loss?  A. 20  B. 30 C. 40 D, 50 E, 60 A. 0.08

12.  Express 8 m in centimeters A. 0.08  B. 0.8   C. 8  D. 80 E. 800

13.  If a sales boy earns N 90,000.00 in a year, how much does he earns in a month? A. A5,500.00 B. N6,500.00 C. N7,500.00 D. N8.500,00 E. N9,500.00

14.  Change 22 % to a fraction in its lowest term.  A. 1/5  B. 11/50   C. 17/75    D. 23/100   E. 9/ 10

15.  How many minutes are there in 36 hours? A. 2,360 B. 2,260 C. 2,160 D. 2,150 E. 2,140 16.

16.  If a packet of sugar weighs 1.38 kg. What is the weight of 18 packets? A. 24.00 kg B. 24.64 kg C. 24.84 kg D. 25.60 kg E. 30.00 kg

17.  Find the positive difference between 528 and the sum of 3 10 and 67 A. 141 B. 151 C. 156 D. 162 E. 187

18.  A class consists of 36 girls and 18 boys. Find the ratio of boys to girls. A, 1:2 B. 1:3 C. 2:1 D. 2:3 E. 3:1

19. 
If Ade spends 5/12 of his pocket money on books, what fraction of it remains? A. 1/3  B. 5/12  C. 7/12   D. ¾   E. 5/6

20.  A ticket to a football match costs N2,400.00. How much should a family of four pay to watch the match? A. ₦I,200.00 . B. ₦2,400.00. C. ₦3,600.00. D. ₦4,800.00. E. ₦9,600.00.

21.  Subtract 2½ from 4⅓  A. ⅚   B. 1⅙ C. 1⅚  D 2⅙ E. 2⅚

22.   If 12 – x = 8, find the value of x A. 4  B. 6   C.12   D. 14 E. 20 

23.  Find the value of x in the equation 6x - 3 = 2x +13    A. 2 B. 3 C. 4 D. 5  E. 6

24.  Given that x + 3 =5, find the value of 2x. A. 2 B, 4 C. 6 D. 8 E. 10

25.  Calculate the area of the shaded portion in the diagram below.  A. 360cm³ B. 280cm³  C. 180cm³   D. 180 cm³  E. 80 cm²

26.  Find the value of the missing number; A. 10  B. 12  C. 14  D. 16 E. 18

27.  Calculate the circumference of a circle whose diameter is 42 cm.(Take = 22/7­)  A. 70cm  B. 88cm C. 100cm D. 120cm E. 132    

28.  Find the value of the missing number:  A. 63 B. 67 C. 98 D. 100  E. 103

29.  How many vertices does a cube have? A. 4  B. 6 C. 8 D. 10 E. 12

30.  Find the area of the parallelogram below.  A. 28 cm²    B. I5 cm² C. 11cm²   D. 9cm²  E. 3cm²

31.  Which of following polygons has seven sides? A. Heptagon B. Hexagon C. Nonagon D. Octagon E. Pentagon

32.   How many line(s) of symmetry has the shape below?  A. 5  B. 4 C. 3  D. 2  E. 1

33.  Which of the following shapes is NOT plane? A. cube  B. Rectangle C. Rhombus D. Square E. Triangle

34.  Calculate the area of a circle whose radius is 7cm. (Take  =22/7 )  A. 154 cm² B. 124 cm² C. 104 cm² D. 94 cm²  E. 54 cm²

35.  The area of a square is 16m². Find the length of its side.  A. 8 m B. 6 m C. 4 m D. 2 m E. 1m

36.  The price of textbook decreases from ₦2,000.00 to ₦ 1,200.00. Find the percentage decrease. A. 10%  B. 20%  C. 30%   D. 40%  E. 50%

37.  Find the value of x in the diagram below. A. 30⁰ B. 36⁰ C. 40⁰  D. 45⁰ E. 48°

38.  Find the volume of the diagram below. (Take  = 22/7) A. 170cm³   B. 590 cm³   C. 700 cm³  D. 1070 cm³   E. 1540 cm³

39.  Find the average of 10,4, 6,3 and 7.  A. 3  B. 4   C. 6  D. 7  E. 10

40.  Find the mode of the following numbers: 11, 10, 11, 11, 12, 13, 14, 14, 14, 15, 15, 16    A. 10 B. 11 C. 12 D. 13 E. 14