September 26, 2021 BECE Free Samples BECE Math 1990 – Objectives BECE: MATHS 1990 Show Correct Answers as I answer When turned off, correct answers will only show when you submit your answers for marking. 1. If P = {7, 9, 13} and Q = {1, 7, 13}, find P∩Q. {1, 7, 13} {1, 9, 13} {7, 13} {7, 9, 13} Correct! Incorrect 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. {5} {6,7} {3, 4, 5, 6, 7} {5, 6, 7} Correct! Incorrect 3. Given that (23 x 82) x 79 = 148994, Find the exact value of (2.3 x 82) x 7.9. 14.8994 148.994 1489.94 14899.4 Correct! Incorrect 4. Convert 25ten to base two numeral. 10001 10011 10101 11001 Correct! Incorrect 5. If (3.14 x 18) x 17.5 = 3.14 x (3a x 17.5) Find the value of a. 3.0 5.8 6.0 9.0 Correct! Incorrect 6. If 26039 oranges are shared equally among 13 women how many oranges does each woman receive? 23 203 230 2003 Correct! Incorrect 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? ¢600.00 ¢750.00 ¢1,500.00 ¢3,000.00 Correct! Incorrect 8. Simplify ½{1½+¾÷¼} 1½ 2¼ 2¾ 4½ Correct! Incorrect 9. If 21 : 2x = 7 : 10, find the value of x. 3 2¼ 15 30 Correct! Incorrect 10. X is a point of the line segment AB such that IABI = 10cm and lAXl = 4cm. Find the ratio IAXl : lXBI 5:3 3:2 5:4 2:3 Correct! Incorrect 11. In an examination 60% of the candidates passed. The number of candidates who passed was 240. How many failed? 140 160 360 400 Correct! Incorrect 12. A table which cost ¢2,400.00 to manufacture was sold for ¢3,000.00. Find the profit percent. 80% 25% 20% 11% Correct! Incorrect 13. If a= 2² x 2³ ÷ 2⁴. Find the value of a. 2⁹ 2⁵ 2² 2 Correct! Incorrect 14. The distance between two towns is 12875 km. Express this distance in standard form. 1.2875 x 103 km 1.2875 x 104 km 12.875 x 103 km 128.75 x 102 km Correct! Incorrect 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? ⅙ ¼ ⅓ ⅖ Correct! Incorrect 16. How much does Mr. Awuah spend on rent? ¢9,000.00 ¢4,500.00 ¢90.00 ¢16,200.00 Correct! Incorrect 17. What is the size of the angle representing savings? 40° 60° 130° 230° Correct! Incorrect 18. Find the missing addend: 8393 1967 2512 467 Correct! Incorrect 19. Remove the brackets: a – 2(b-3c) a – 2b – 3c a – 2b – 6c a – 2b + 6c a – 3b + 3c Correct! Incorrect 20. Simplify : 2a/3 – a-b/2 a-3b a-3b/6 a+3b/6 a+3b Correct! Incorrect 21. If q = ut + ½ft. Find q when u = 20, t = 10 and f = 15 350 275 237.5 55 Correct! Incorrect 22. If 3/15 is equivalent to 45/a, find a 225 150 135 30 Correct! Incorrect 23. Find the least common multiple of 7, 14 and 18. 71418 1764 252 126 Correct! Incorrect 24. In ∆XYZ, |XZ| = 13 cm, |XY| = 12 cm and ∠XYZ = 90°. Find IYZI if the area of the triangle is 30 cm² 25cm 14cm 12.5cm 5cm Correct! Incorrect 25. Write 1204five as a number in base ten. 995 179 39 35 Correct! Incorrect 26. Multiply (2x + y) by (2x – y) 4x² – y² 4x² + xy – y² 4x² – xy – y² 4x² + y² Correct! Incorrect 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. ¢6,250.00 ¢7,200.00 ¢7,250.00 ¢7,500.00 Correct! Incorrect 28. A tank contains 250 litres of water. If 96 litres is used, what percentage of the original quantity is left? 61.6% 60.5% 59.0% 54.2% Correct! Incorrect 29. Evaluate 10 ÷ (3 ½+ I⅕) 2⁶∕₄₇ 4²∕₃₅ 4 2⅙ Correct! Incorrect 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? ¹∕₁₄ ⁷∕₁₇ ⁵∕₁₂ ⁷∕₁₂ Correct! Incorrect 31. Which of the following inequalities is represented on the number line, where n ∊ {real numbers}? n ≤ -3 n < -3 n ≤ -3 n > -3 Correct! Incorrect 32. What is the name of the line segment drawn to join any two points on the circumference of a circle? Radius Segment Sector Chord Correct! Incorrect 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. 9.42 12 18 25.12 Correct! Incorrect 34. Find the value of y. 2 5 7 9 Correct! Incorrect 35. The area of a square is 49 cm². Find the perimeter of the square. 7 cm 51 cm 28 cm 49 cm Correct! Incorrect 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? 24 ≤ x ≤ 30 24 < x ≤ 30 23 < x < 29 24 < x < 30 Correct! Incorrect 37. Find the area of the trapezium MNOP 120 cm² 72 cm² 60 cm² 48 cm² Correct! Incorrect 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? 1:100 1:300 1:1000 1:30000 Correct! Incorrect 39 39.The diagram shows the construction for copying a given line bisecting a line segment drawing a perpendicular to a given line bisecting a given angle Correct! Incorrect 40. Simplify Option 1 Option 2 Correct! Incorrect Submit for Marking Like