BECE 1997 Mathematics (Maths) Paper 1 Objectives
BECE PAST QUESTIONS AND ANSWERS
BECE 1997 MATHS
MATHEMATICS
ESSAY - Paper 2
1. Convert 320five to a base ten numeral
A) 25 B) 77 C) 85 D) 86 E) 90
A) 25 B) 77 C) 85 D) 86 E) 90
2. P = {2, 4, 6, 8} and Q = {even counting numbers less than 12}. What is the relationship between P and Q?
A) P = Q B) P Ì Q C) P < Q D) Q Ì P E) P ∈ Q
3. In the diagram below, P is the set of numbers in the circle and Q is the set of numbers in the triangle.
What is P ∩ Q.?
What is P ∩ Q.?
A. {1, 2, 4}
B. {5, 6}
C. {7}
D. {1, 2, 4, 5, 6, 7}
E. { }
B. {5, 6}
C. {7}
D. {1, 2, 4, 5, 6, 7}
E. { }
4. The product 6287 x 543 = 3,413,841. What is the value of 628.7 x 5.43 ?
A) 3,413,841
B) 342,384.1
C) 34,138.41D. {1, 2, 4, 5, 6, 7}
E. { }
B) 342,384.1
C) 34,138.41D. {1, 2, 4, 5, 6, 7}
E. { }
5. Express 30cm as a percentage of 2m.
A) 0.5% B) 1.5% C) 6.7% D) 15% E) 66.7%
A) 0.5% B) 1.5% C) 6.7% D) 15% E) 66.7%
6.
What solid can be made from this net?
A) triangle
B) rectangular pyramid
C) triangular prism
D) rectangular prism
E) triangular pyramid
A) triangle
B) rectangular pyramid
C) triangular prism
D) rectangular prism
E) triangular pyramid
7. Simplify 3(6b – 9a) + 7(6a – 5b)
A) 17b + 6a
B) -17b + 6a
C) 17b+48a
D) 15a – 17b
E) 17b – 15a
B) -17b + 6a
C) 17b+48a
D) 15a – 17b
E) 17b – 15a
8. Arrange the following fractions in descending order 9/16 , 5/8 , 0.62
A) 9/16 , 0.62 , 5/8
B) 0.62 , 5/8 , 9/16
C) 5/8 , 9/16 , 0.62
D) 5/8 , 0.62 , 9/16
E) 0.62 , 9/16 , 5/8
B) 0.62 , 5/8 , 9/16
C) 5/8 , 9/16 , 0.62
D) 5/8 , 0.62 , 9/16
E) 0.62 , 9/16 , 5/8
9. Find the LCM of 18, 42 and 90.
A) 2×32
B) 2×3×7
C) 2×32×5
D) 2×3×5×7
E) 2×32×5×7
B) 2×3×7
C) 2×32×5
D) 2×3×5×7
E) 2×32×5×7
10. What is the HCF of 18, 42 and 90 ?
A) 21 B) 18 C) 9 D) 6 E) 3
12. If R = 12 (a + b)k , find k in terms of R, a and b.
In the figure below, triangle M′ON′ is an enlargement of triangle MON, with centre O
13. Find the scale factor of the enlargement
A) 9 B) 3 C) 2 D) –2 E) –3
A) 9 B) 3 C) 2 D) –2 E) –3
14. Find |OM|
A) 9 B) 6 C) 4.5 D) 3 E) 1.5
A) 9 B) 6 C) 4.5 D) 3 E) 1.5
16. A student spends 17/35 of his pocket money on transport and fruits. He spends 5/6 of the remainder on sweets. What fraction of his pocket money does he spend on sweets?
A) 4/7 B) 3/7 C) 17/35 D) 18/35 E) 17/42
In the diagram above, PQ is parallel to RS and |PR| = |QR|.
Use the diagram to answer questions 17 to 19
17. What is a ?
A) 29 B) 46 C) 75 D) 88 E) 134
A) 29 B) 46 C) 75 D) 88 E) 134
18. Find b. A) 29 B) 46 C) 88 D) 92 E) 105
19. Find the value of c.
A) 29 B) 46 C) 75 D) 88 E) 105
20. If p = 7, q = 5 and r = 3, find the value of p2 + q – r3 A) 10 B) 27 C) 51 D) 57 E) 81
21. Simplify 35x5y3 ¸ 7xy2 A) 5x6y5 B) 5x4y C) 5x6y D) 5x4y5 E) 5x4y2
22. The sum of two numbers is 240. If one of them is y, find the other number.
A) 120y B) 240 + y C) 240 – y D) 240y E) 240/y
23. Make n the subject of the relation 2n + 5 = 7a
A) n = ½ (7a+5)
B) n = ½ (7a-5)
C) n = 2(7a+5)
D) n = 2(7a-5)
E) n = 7a-5
B) n = ½ (7a-5)
C) n = 2(7a+5)
D) n = 2(7a-5)
E) n = 7a-5
24.
Find the bearing of Q from P in the diagram above.
A) 030° B) 060° C) 070° D) 090° E) 150°
A) 030° B) 060° C) 070° D) 090° E) 150°
25.
The figure above is made up of a rectangle and a triangle. The dimensions of the rectangle are 8cm
and 6cm. The triangle has 6cm as its base and 3cm as its height. Find the area of the figure.
A) 33cm2 B) 48cm2 C) 51cm2 D) 57cm2 E) 66cm
and 6cm. The triangle has 6cm as its base and 3cm as its height. Find the area of the figure.
A) 33cm2 B) 48cm2 C) 51cm2 D) 57cm2 E) 66cm
26. The marks obtained by ten boys in a test are: 0, 1, 3, 3, 5, 7, 8, 9, 9 and 9.
Find the median score.
A) 3 B) 5 C) 6 D) 7 E) 8
Find the median score.
A) 3 B) 5 C) 6 D) 7 E) 8
27. The marks obtained by ten boys in a test are: 0, 1, 3, 3, 5, 7, 8, 9, 9 and 9.
Calculate the mean score.
A) 4.4 B) 5.4 C) 6.0 D) 6.4 E) 9.0
Calculate the mean score.
A) 4.4 B) 5.4 C) 6.0 D) 6.4 E) 9.0
28. The marks obtained by ten boys in a test are: 0, 1, 3, 3, 5, 7, 8, 9, 9 and 9.
What is the probability that a boy chosen at random scored 3?
A) 1/27 B) 1/18 C) 1/10 D) 1/5 E) 1/3
What is the probability that a boy chosen at random scored 3?
A) 1/27 B) 1/18 C) 1/10 D) 1/5 E) 1/3
29. Express 57ten as a base two (binary) numeral.
A) 101011two
B) 100111 two
C) 11010 two
D) 110111 two
E) 111001 two
A) 101011two
B) 100111 two
C) 11010 two
D) 110111 two
E) 111001 two
30. The scale of a map is 1: 100,000. What is the distance (in km) between two towns 4cm apart on the map?
A) 0.04 B) 0.4 C) 4.0 D) 40 E) 400
A) 0.04 B) 0.4 C) 4.0 D) 40 E) 400
31. If 22% of a rope is 55m long, find the full length of the rope.
A) 12.1m B) 25m C) 121m D) 250m E) 2500m
32. Adwoa and Ama share an amount of ¢6,000.00 in the ratio 3:2. Find Adwoa's share.
A) ¢2,000.00
B) ¢2,400.00
C) ¢3,000.00
D) ¢3,600.00
E) ¢4,000.00
33. Find the truth set of 5x – 8 ≤ 2x + 4
A. {x ≥ 4} B. {x ≥ -4} C. {x ≤4} D. {x ≤ -4} E. {x = 4}
34. The diameter of a circular tray is 28cm. Find the area of the tray.
(Take π = 22/7)
A) 44 cm2 B) 88 cm 2 C) 154 cm 2 D) 616 cm 2 E) 2464 cm 2
(Take π = 22/7)
A) 44 cm2 B) 88 cm 2 C) 154 cm 2 D) 616 cm 2 E) 2464 cm 2
36.
What is the rule for the mapping above ?
A) x→x+3 B) x→x+1 C) x→x-1 D) x→x+2 E) x→x 2
A) x→x+3 B) x→x+1 C) x→x-1 D) x→x+2 E) x→x 2
37. If 50 oranges cost ¢2,500.00 how many oranges can be bought for ¢15,000.00?
A) 3 B) 30 C) 60 D) 300 E) 360
38. A farmer has 1853 pineapple suckers. He plants 17 pineapples in a row. How many rows can he
plant?
A) 17 B) 19 C) 91 D) 109 E) 190
plant?
A) 17 B) 19 C) 91 D) 109 E) 190
39.
In triangle PQR, |PQ| = |QR|, and angle PQR = 90°. Find x
A) 30° B) 45° C) 60° D) 90° E) 180°
A) 30° B) 45° C) 60° D) 90° E) 180°
40. If a × b × c = 1197 and a = 21, b = 3, find c.
A) 19 B) 49.9 C) 57 D) 63 E) 399
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