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### BECE Math 1990 – Objectives

BECE: MATHS 1990
1. If P = {7, 9, 13} and Q = {1, 7, 13}, find P∩Q.
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2. In the Venn diagram, Q is the set of numbers inside the circle and T is the set of numbers inside the rectangle.
Find Q∪T.
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3. Given that (23 x 82) x 79 = 148994, Find the exact value of (2.3 x 82) x 7.9.
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4. Convert 25ten to base two numeral.
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5. If (3.14 x 18) x 17.5 = 3.14 x (3a x 17.5)
Find the value of a.
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6. If 26039 oranges are shared equally among 13 women how many oranges does each woman receive?
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7. Mr. Mensah withdrew some money from the bank. He gave ½ of it to his son and ½ to his daughter. If he had ¢500.00 left, how much did he take from the bank?
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8. Simplify ½{1½+¾÷¼}
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9. If 21 : 2x = 7 : 10, find the value of x.
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10. X is a point of the line segment AB such that IABI = 10cm and lAXl = 4cm. Find the ratio IAXl : lXBI
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11. In an examination 60% of the candidates passed. The number of candidates who passed was 240. How many failed?
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12. A table which cost ¢2,400.00 to manufacture was sold for ¢3,000.00.
Find the profit percent.
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13. If a= 2² x 2³ ÷ 2⁴. Find the value of a.
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14. The distance between two towns is 12875 km. Express this distance in standard form.
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The pie chart shows the monthly expenditure of Mr. Awuah whose monthly income is ¢18,000.00. Use the chart to answer questions 15 to 17
15. What fraction of Mr. Awuah’s income is spent on food?
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16. How much does Mr. Awuah spend on rent?
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17. What is the size of the angle representing savings?
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19. Remove the brackets: a – 2(b-3c)
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20. Simplify : 2a/3 – a-b/2
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21. If q = ut + ½ft. Find q when u = 20, t = 10 and f = 15
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22. If 3/15 is equivalent to 45/a, find a
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23. Find the least common multiple of 7, 14 and 18.
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24. In ∆XYZ, |XZ| = 13 cm, |XY| = 12 cm and ∠XYZ = 90°. Find IYZI if the area of the triangle is 30 cm²
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25. Write 1204five as a number in base ten.
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26. Multiply (2x + y) by (2x – y)
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27. A watchman was paid basic wage of ¢250.00 a day. If he worked everyday in the month, calculate his basic wage for February, 1988.
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28. A tank contains 250 litres of water. If 96 litres is used, what percentage of the original quantity is left?
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29. Evaluate 10 ÷ (3 ½+ I⅕)
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30. A bag contains 24 marbles, 10 of which are blue and the rest are green. A boy picks a marble at random from the bag. What is the probability that he picks a green marble?
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31. Which of the following inequalities is represented on the number line, where n ∊ {real numbers}?
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32. What is the name of the line segment drawn to join any two points on the circumference of a circle?
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Use the mapping below to answer questions 33 and 34.

(½)→ (1)→ (3.14)
(1)→ (2)→ (6.28)
(2)→ (4)→(12.56)
(3)→ (6) → (x)
(y)→ (10)→ (50.24)

33. Find the value of x.
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34. Find the value of y.
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35. The area of a square is 49 cm². Find the perimeter of the square.
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36. The least number in a set of real numbers is 24 and the greatest is 30. Which of the following is the correct interpretation of the statement?
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37. Find the area of the trapezium MNOP
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38. The length of a field, 1.2 km long is represented on a map by a line 40 mm long. What is the scale of the map?
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39
39.The diagram shows the construction for
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40. Simplify
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