Ghana BECE 2006 MATHEMATICS PAST QUESTIONS AND ANSWERS

1) If Q = {1, 3, 5, 7, 9, 11, 13, 15} and R = {1, 2, 3, 5, 6, 7, 10, 11, 12}, find Q∩R

If x is an integer, list the members of the set, {2 ≤ x < 10}.

3) Simplify ⁴∕₃x – ²∕₉x.

4) The number of boys in a school is 120. If the ratio of boys to girls is 5:7, find the total number of students in the school.

5) Find the circumference of a circle with, radius 3.5 cm. (Take π= ²²∕₇)

6) Which of the following is the set of prime factors of 12?

7) The base of an isosceles triangle is 7 cm long. Each of the other two sides is x cm long. What will be the expression for its perimeter?

8) Correct 0.003858 to three significant figures.

9) Find the value of a – 3ab when a = 2 and b = 3.

10) A boy sold some oranges at three for ¢500.00. If his total sales was ¢100,000.00, how many oranges did he sell?

11) A train travels at seed of 80 km per hour. How long will it take to travel a distance of 320 km?

12) Which of the following figures is a rhombus?

13) Three children share an amount of ¢910,800.00 in the ratio 2:3:4. What will be the highest share?

14) The next term in the sequence 3, 6, 12, 24, ….. is

15) Express 350 as a product of prime factors?

16) Express 962 in standard form.

17)

Which of the following inequalities is shown on the number line above, where p = {real numbers}?

18) Solve the equation x+2/3+2x=10

19) Arrange the fractions ¾, ⅔, ⅘ in ascending order of magnitude.

20) Express 87ten as a base five numeral.

21) A bag contains 6 blue and 5 black balls. What is the probability of picking a black ball at random?

22) Evaluate 2³ x 3⁴ x 3³ / 2² x 2 x 3⁵

23)

How many people are in the club?

24)

What is the modal age of the members of the club?

25) In an examination, 154 out of 175 candidates passed. What percentage failed?

26) Expand (6 – x)(6 + y).

27) If F = ⁹∕₅C + 32, find F when C = 40.

28) Find the highest common factor (HCF) of 20, 12 and 28.

29) Evaluate ⅔(27 – 12) – 6.

30)

In the figure PQR is a straight line. Angle TQP = x° angle TQS = 102° and angle SQR = 2x° Find the value of x.

31) Factorize 22ab – 11ac + 6rb – 3rc.

32) Find the sum of 124.3, 0.275 and 74.06. (Correct your answer to one decimal place.)

33) Simplify 6p³ x p² ÷ 3p⁴.

34) Mr. Nkrumah saved ¢75,000.00 at a simple interest rate of 20% per annum for 3 years. Calculate the interest he earned on his savings.

35) Find the rule for the mapping:

36) What is the value of the digit 9 in the number 624.93?

37) The marks obtained by 5 girls a test are: 10, 15, 8, 18, 12. Find the median mark.

38) The point P(3, 4) is translated by the vector (3 -2) to a new position P’. Find the coordinates of the image P’

39)

In the diagram above, KGM is a right-angled triangle and angle GKM = 62°. Find the angle of elevation of K from M.

40) Given that vector a = (-2 3) and vector b = (2 -5), find a + 2b.