Ghana BECE 2002 MATHEMATICS PAST QUESTIONS AND ANSWERS

1) If P = {multiples of 4 less than 16}, find P.

2) The addition below was obtained out in base x. Find x

3) A farmer left home at 4:35 a.m. and arrived on his farm at 6:18 am. How long did he take to get to his farm?

4) Express 2474.5 in standard form.

5) Simplify 1½ + 2¼ – 3⅝

6) Find the next two numbers in the sequence, 2, 5, 9, 14, 20, _, _.

7) The sum of the three numbers is 28,542. Two of the numbers are 10,250 and 9,750. Find the third number.

8) 135 pencils were to be packed into boxes. Each box could take 12 pencils. Find the number of boxes that were fully packed.

9) Which of the fractions ¹³∕₂₀, ⅗, ¾, and ⁷∕₁₀ is the greatest?

10) Out of ¢550,000.00 given to a school, an amount of ¢325,000.00 was used. What fraction of the total amount was used?

11) 8 girls can weed a plot of land in 10 days. How many days will 5 girls take to weed the same plot of land, if they work at the same rate?

12) Kofi bought four pencils at ¢200.00 each and five pens at ¢350.00 each. How much did he pay altogether?

13) John’s uncle sent him ¢120,000.00 through a bank which charges 5% commission. How much commission was paid?

14) A mapping is defined by x→ x² – 1. What is the image of 3 under the mapping?

15) A typist charges ¢2,000.00 for first 5 sheets typed and ¢600.00 for any additional sheet. How much will Barbara pay, if she presents 20 sheets for typing?

16) Ama covered a distance of 100 m in 12 seconds. Express her speed in kilometres per hour.

17) Yakubu, Seidu and Amina shared an amount of money in the ratio 3:4:5. Find how much was shared, if Amina received ¢40,000.00.

18) Abban paid ¢630,000 for a bicycle at a discount of 10%. Find the actual selling price of the bicycle.

19) The population of a town in 1990 was 88,000. The population increased by 20% in 1998. Find the population in 1998.

20) a * b = 2a – b , find 3 * 2.

21) If r = m+1/m-2, express m in terms of r.

22) Forty percent of students in a class speak Ga and seventy five percent speak Twi.

What percentage of the class speak both Ga and Twi?

23) Forty percent of students in a class speak Ga and seventy five percent speak Twi.

If there are 40 students in the class, how many of them speak twi?

24) A point (2, 1) is reflected in the y-axis. Find its image.

25) Expand (2a + b)(a – b)

26) If s = (-1 4) and r = (3 2), find 3s + r.

27) Solve for y in the equation: ⅓y +⅕y = 8

28)

Which of the following statements best describes the construction above?

29)

30)

Find the value of a.

31)

If the man earns ¢720,000.00 monthly, find how much he spends on food.

32)

What percentage of his salary does he save?

33)

In the diagram, XYZ is a triangle, YW is a straight line. Angle XYZ = 52° and angle XZW = 125, find angle YXZ.

34) There are 18 girls and 22 boys in a class. A prefect is to be chosen at random from the class. What is the probability that the prefect will be a girl?

35) The length of a rectangle is three times its width. If its perimeter is 24 cm, find its width.

36) The interior angle of a regular polygon is 135°. How many sides has the polygon?

37) A square of side 4 cm is enlarged by a scale factor of 3. Calculate the area of the enlarged square.

38) A rectangular tank has length 3 m, width 2 m and height 1.5 m

If the tank is filled with water to ½ of its capacity, calculate the volume of the water in the tank

39) A rectangular tank has length 3 m, width 2 m and height 1.5 m

The Alpha Water Company charges ¢40,000.00 for every 1 m³ of water. Find how much it will cost to fill the tank completely.

40) Express 34m 5cm 6mm in millimetres.