Ghana BECE 2000 MATHEMATICS PAST QUESTIONS AND ANSWERS

1) M= {1, 2, 3, 8, 10} and N= {8, 1, x, 3, 2}. If M = N, what is the value of x.

2) In the Venn diagram Q is the set of numbers inside the circle and R is the set of numbers inside the triangle.

Find Q∩R

3) Simplify 11 – (11 – 4) + 13

4) What is the value of 4 in the number 2 043 507.

5) Which of the following is true?

6) If (23 x 82) x 79 = 148,994, find the exact value of (2.3 x 82) x 7.9.

7) Convert 206 to base five numeral.

8)

Which of the following inequalities is represented by the number line?

9) The product of three numbers is 1197. Two of the numbers are 3 and 21. Find the third number

10) Simplify (-2 3) – (1 5).

11) A pencil sells at ¢180.00 and an eraser sells at ¢120.00. How much will you pay if you buy three pencils and four erasers?

12) Simplify 0.12×0.08/2.40

13) How many lines of symmetry has a square

14)

In the diagram, MNO is a right angled triangle, MO = 13 cm and MN is 5cm.

Find the value of x.

15) Amina spent 17/35 of her pocket money on transport and food. If she spent 2/7 on transport only, what fraction does she spend on food?

16) If x → 3x – 4, what is the image of -2?

17) Simplify (2ab²)(3a²b).

18) It takes 15 men, 48 days to weed a plot of land. How many men can weed the same plot of land in 16 days, if they work at the same rate?

19) The ratio 9 : x is equivalent to 36 : 20. What is the value of x?

20) In an enlargement PQ → P¹Q¹, lPQl = 3 cm and |P¹Q¹| = 15 cm. Calculate the scale factor of the enlargement.

21) Simplify 7a – 3(b – a)

22) A man deposited an amount of money in his savings account for 5 years. The rate of interest was 14% per annum. If the interest was ¢35,000.00. Find the amount deposited.

23) Arrange the following fractions from the lowest to the highest, ¾, ⅔ and ⅗.

24) The mark price of a radio set is ¢450,000.00. A discount of 5% of the marked price is allowed. What is the selling price of the radio?

25) If 60% of the pupils in a school is 240. Find the total enrolment in the school.

26) If a * b = 2a – b, evaluate 4 * 3

27)

What is the modal mark?

28)

How many pupils took the test?

29) How many pupils took the test?

30) A school has a population of 600 out of which 120 are girls. What is the probability of meeting a pupil in the school who is a boy?

31) If 1/k = 1/k + 1/k, find when k₁ = 1 and k₂ = 2.

32) Solve the equation 13x – 2(3x + 4) = 22.

33) A rectangular tank is 4 m long, 3 m wide and 2.5 m high. What is the volume of the tank?

34) Write the rule for the mapping

35) If r = (2 1) and s = (-3 2) Calculate 2r – 3s.

36)

Name the geometric figure shown in the diagram above

37) A car travels 72 kilometres in an hour. Find its speed in metres per second.

38) The circumference of a circular track is 154 m. Find the diameter of the track. (Take π =22/7)

39)

Which of the following best describes the construction in the diagram?

40) Ama is N years old now. How old will she be in 10 years?