# UCC JHS BECE Mathematics Mock Questions

## UCC JHS BECE Mathematics Mock Questions

UCC JHS BECE mathematics mock questions for final year students. The BECE mathematics mock questions enables the candidates to prepare adequately.

See also: UCC JHS BECE French Mock Questions

See also: UCC JHS BECE English Language Mock Questions

### PAPER 2: ESSAY

**BECE mathematics mock questions:** Answer four questions only. All questions carry equal marks.

All working must be clearly shown. Marks will not be awarded for correct answers without corresponding working.

1. (a) A car consumes a gallon of petrol for every 30km drive. The driver of the car sets out on a journey of 420 km with 10 gallons of petrol in the fuel tank.

(i) How many more gallons of petrol will be needed to complete the journey?

(ii) Find the cost of the petrol used for the journey of 420 km if a gallon of petrol cost GH¢5.50.

(b) Expand and evaluate when

(c) Given that the vector and find

**BECE mathematics mock questions:**

2. (a) A bus left town X at 6:30 a.m. and arrived at town Y at 1:00 p.m. If the bus travelled at an average speed of 100 km per hour, calculate the distance from town X to town Y.

(b) Solve

(c) 3/7 of students in a certain class are males. If there are 36 females, how many students are there in the class?

**BECE mathematics mock questions:**

3. (a) The pie chart below shows the distribution of new desks to five classes in the University Junior High

School. If 48 new desks were given to School B,

(i) How many desks were given to each of the rest of the classes?

(ii) What is the average whole number of new desks given to the classes?

(iii) How many classes were able to receive more new desks than the average number?

(b) Make ‘r’ the subject of V = πr^{2}h

**BECE mathematics mock questions:**

4. (a) (i) Using a ruler and a pair of compasses only, construct triangle PQR such that = 10 cm, Angles QPR = 45 0 and PQR = 60 0 .

(ii) Construct the perpendicular bisectors of lines PR and RQ to meet at T.

(iii) Measure the length of TP.

(b) The price of a DSTV decoder at Mr. Brew’s shop including Value Added Tax (VAT) is GHȼ 690.00. If the VAT rate is 15, calculate the:

(i) price of the DSTV decoder excluding VAT;

(ii) VAT charged.

**BECE mathematics mock questions:**

5. (a) In the diagram below, P→P′, Q→Q′, R→R′, where P′Q′R′ is an enlargement.

(i) Calculate the scale factor of this enlargement?

(ii) If |PR| = 3.6 m, what is |P′R′|?

(b) A rectangular tank of length 20 cm, width 8 cm and height 14 cm is filled with water. The water is poured into a cylindrical container of radius 7 cm.

Calculate the:

(i) volume of the rectangular tank.

(ii) depth of water in the cylindrical container correct to 3 significant figures. [Take ]

(c) The sum of two numbers is 81. If the second number is twice the first, find the second number.

**BECE mathematics mock questions:**

6. (a) Solve , illustrate your answer on a number line.

(b) The three interior angles of pentagon are 100, 120. Find the size of each of the remaining two angles, if one of them is two times the other.

(c) Kojo is n years old now.

(i) How old was he 5 years ago?

(ii) How old will he be 10 years from now?

(iii) If his age in 10 years’ time will be four times his age 5 years ago, how old is he now?

**BECE mathematics mock questions:** Paper 1: Objective

1. Given that m = 0.8 and n = 0.4, evaluate 5(n + m)

A. 12.0

B. 6.0

C. 5.12

D. 2.5

2. Mr Senyo’s son sent him GH¢5,000.00 through a bank which charges 8% commission. How much will Mr. Senyo

receive?

A. GH¢5,250.00

B. GH¢5,000.00

C. GH¢4,600.00

D. GH¢3,250.00

3. Which of the following is a measure of a reflex angle?

A. 230 0

B. 110 0

C. 90 0

D. 30 0

4. Factorize: (2a – b)(3r + 2t) – 2r(2a – b)

A. (2a – b)(r – 2t)

B. (2a + b)(r + 2t)

C. (4a – 2b)(5r + 2t)

D. (2a – b)(r + 2t)

5. The exterior angles of a regular polygon is 18 o . Find the number of sides.

A. 20

B. 12

C. 8

D. 7

**BECE mathematics mock questions:**

6. A container is 10 cm long, 5 cm wide and 3 cm high. How many books can it hold if each book is 5 cm long, 3 cm wide and 2 cm thick.

A. 30

B. 10

C. 8

D. 5

7. Which of the solid shapes below has 5 faces, 6 vertices and 9 edges?

A. Triangular pyramid

B. Triangular prism

C. Square pyramid

D. Rectangular prism

Use the diagrams below to answer questions 8 and 9

8. Which of the following equations is correct using the three triangles above?

A. b = a

B. d = e

C. g = k

D. g = h

9. From the diagrams, a and c are called

A. alternate angles

B. base angles

C. corresponding angles

D. vertically opposite angles

10. If m = 12 – 1/8n, find m when n = 16.

A. 2

B. 8

C. 10

D. 14

**BECE mathematics mock questions:**

11. Express 63 as a product of prime factors.

A. 2^{2} x 3

B. 3^{2} x 7

C. 3 x 5 x 7

D. 2 x 3 x 7

12. Expand: (3m + n)(n – 3m)

A. 6mn – 9m^{2}– 3n^{2}

B. 6mn – 9m^{2}+ n^{2}

C. 9m^{2} – n^{2}

D. n^{2}– 9m^{2}

13. Larry left some money to be shared between

Claudia and Baawa in the ratio 5 : 7 respectively. If Baawa had GH¢16.00 more than Claudia, find Baawa’s share.

A. 24

B. 56

C. 64

D. 96

14. Make t the subject of the relation m = 2(b-t)/c

A. t = b/2 – mc/3

B. t = mc/2 + b

C. t = (b-mc)/2

D. t = b – mc/2

15. Find the median of the following grades:

6, 7, 5, 8, 7, 4.

A. 5

B. 5.5

C. 6.5

D. 7

**BECE mathematics mock questions:**

16. Express 0.0000529 in standard form.

A. 52.9 x 10^{-4}

B. 5.29 x 10^{-5}

C. 5.29 x 10^{5}

D. 529 x 10^{-6}

17. Calculate the gradient of the straight line that passes through the points L (– 6, –5) and M (0, 1).

A. 1

B. – 1

C. 2/3

D. 3/2

18. Find the value of 3 5 ÷ (3 7 ÷ 3 6 ) ÷ 3 4

A. 0

B. 1

C. 3

D. 9

In the diagram below, G and W are two intersecting sets

in the universal set µ.

Use it to answer questions 19 to 21.

19. Which of the following is the expression for n(G)?

A. 3n + 12

B. 5n – 2

C. 5n + 6

D. 8n – 6

20. Find the value of n, if n(W) = n(G)

A. 2

B. 3

C. 4

D. 5

**BECE mathematics mock questions:**

21. What is the value of µ?

A. 46

B. 36

C. 34

D. 24

22. Solve: 30 – 3x ≥ 4x + 9

A. x ≥ – 3

B. x ≥ + 3

C. x ≤ + 3

D. x ≤ – 3

23. Subtract six hundred and forty-seven from eight hundred and sixty-four.

A. one hundred and seventeen

B. two hundred and seventeen

C. two hundred thousand and seven

D. two thousand and seventeen

24. Find the set of integers within the interval {53 ≤ n ≤ 58}

A. {52, 53, 54, 55, 56, 57}

B. {53, 54, 55, 56, 57, 58}

C. {53, 54, 55, 56, 57}

D. {52, 53, 54, 55, 56}

25. What is one-hundredth of 30.27?

A. 0.3027

B. 0.03027

C. 0.003027

D. 30.27000

**BECE mathematics mock questions:**

26. A ship sails from port P to port K on a bearing of 240 0 . On what bearing will it have to sail to return from K to P?

A. 240 0

B. 160 0

C. 080 0

D. 060 0

27. Given the translation vector and image A 1 , find the coordinates of A.

A. A(2, –5)

B. A(6, 1)

C. A(–5, 2)

D. A(1, 6)

28. Find the value of n in the diagram below.

A. 12 0

B. 15 0

C. 22 0

D. 30 0

29. Last Monday midnight temperature was – 8 o C and by noon it was 6 o C. what was the rise in temperature?

A. 14 o C

B. 10 o C

C. 9 o C

D. 8 o C

30. A square is 0.49 m 2 in area. What is its perimeter?

A. 1.8 m

B. 2.4 m

C. 2.8 m

D. 3.8 m

**BECE mathematics mock questions:**

Use the diagram below to answer questions

31 and 32.

31. What is the value of y o ?

A. 65 o

B. 120 o

C. 130 o

D. 25 o

32. Calculate the value of angle d o .

A. 65 o

B. 180 o

C. 25 o

D. 90 o

33. Find the least common multiple (LCM) of 18, 16 and 9.

A. 288

B. 144

C. 64

D. 24

34. If G = {prime numbers less than 23}, find G.

A. {1, 2, 3, 5, 7, 11, 13, 17, 19, 21}

B. {2, 3, 5, 7, 11, 13, 17, 19, 21}

C. {2, 3, 5, 7, 11, 13, 17, 19}

D. {3, 5, 7, 11, 13, 17, 19}

35. Express 1 cm to 1 km as a ratio.

A. 1 : 100,000

B. 1 : 10,000

C. 1 : 1,000

D. 1 : 100

**BECE mathematics mock questions:**

36. The temperature of a melted metal is 132.974 o C. Correct it to one decimal place.

A. 133.0

B. 133.1

C. 132.0

D. 132.1

37. Fifty-nine students were at assembly for worship last Wednesday. It was observed that the girls were seventeen more than the boys. How many boys were at the worship?

A. 42

B. 31

C. 27

D. 21

38. The longer hand of a clock is 7 cm when the time was 6:00am. Find the area of the clock. [Take π = 22/7].

A. 44 cm 2

B. 77 cm 2

C. 154 cm 2

D. 308 cm 2

39. Lois is a phone shopkeeper. She allows a discount of 6% on any Infinix phone. Find the discount on three Infinix phones priced at

GH₵560.00 each.

A. GH₵33.60

B. GH₵100.80

C. GH₵336.00

D. GH₵1,680.00

40. Simplify: 1/3x – 1/5(x + 2).

A. 2x – 6

B. (x-6)/15

C. (2x -6)/15

D. (2x + 2)/ 5

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Good questions. So greatful

Great piece

They are very good questions but please can you provide us the marking scheme.

Superb