BECE 2004 Mathematics (Maths) Paper 1 Objectives
BECE PAST QUESTIONS AND ANSWERS
BECE 2004
MATHEMATICS (MATHS)
OBJECTIVES (Paper 1)
1. If the set A = {1, 2, 3, 4, 5} and the set B = {2, 4, 6}, find the number of members in the set A B.
A) 8 B) 6 C) 5 D) 2
2. How many faces has a cuboid ?
A) 3 B) 4 C) 5 D) 6
3. Evaluate 0.036
0.02
A) 0.018 B) 0.18 C) 1.8 D) 18.0
4. The angle formed by one complete revolution is equivalent to
A) one right angle
B) two right angles
C) three right angles
D) four right angles
5. If the set P = {1, 2, 3, 4, 5} which of the following statements best describes P?
A) Set of whole numbers up to 6.
B) Set of counting numbers less than 6
C) Set of counting numbers greater than 6
D) Set of integers less than 6.
6. Which of the following numbers is the next prime number greater than 23 ?
A) 17 B) 24 C) 25 D) 29
7. Simplify -35 – (-15) + (-30)
A) –10 B) –20 C) –50 D) -80
8. Write 78910 correct to the nearest thousand
A) 70,000 B) 78,000 C) 79,000 D) 80,000
9. Simplify 210 x 32
36 x 28
A) 22 / 34 B) 34 / 22 C) 32 / 24 D) 24 / 34
10. Which of the following inequalities is represented on the number line below?
A. -2 < x < 3
B. -2 ≤ x < 3
C. -2 ≤ x ≤ 3
D. -2 < x ≤ 3
11. Factorize completely the expression 4xy - 16x + 10y – 40.
A.. (y + 4) (4x – 10)
B. (y – 4) (4x + 10)
C. (4 – y) (10 – 4x)
D. (y + 4) (4x + 10)
12. What is the image of 2 in the mapping x → 2x + 5 ?
A) 7 B) 9 C) 12 D) 20
13. Simplify 3a2b3 × 4a3b
A) 12a5b4 B) 12a4b5 C) 7a5b4 D) 7a4b5
14. Find the solution set of 2x + 1 < 5 in the domain {-1, 0, 1, 2, 3}.
A) {-1, 1, 3,} B. {-1, 0, 1} C. {-1, 1, 2} D. {0, 1, 2}
15. Find the highest common factor (HCF) of 48, 60 and 96.
A) 12 B) 24 C) 36 D) 48
16. P = {odd numbers between 20 and 30} and Q = {23, 29}.
Which of the following is true?
17. Find the rule for the following mapping
A) y = 2x + 1 B) y = 2x – 1 C) y = x2-1 D) y =x2+1
19. Find the value of x in the polygon below.
A) 12° B) 36° C) 60° D) 72°
20. An article costs ¢60,000.00. The price was increased by 10%. Find the new price.
A) ¢54,000.00 B) ¢61,000.00 C) ¢66,000.00 D) ¢70,000.00
21. Solve for x in the equation 15 – 2x = 6
A) –10.5 B) –4.5 C) 4.5 D) 10.5
22. The population of Ghana was 5,000,000 in 1957. The population in 1998 was estimated to be 17,000,000. Find the percentage increase in population from 1957 to 1998.
A) 2.4% B) 24% C) 240% D) 2400%
23. The angles of a triangle are in the ratio 3:2:1. Find the value of the smallest angle.
A) 30° B) 45° C) 60° D) 90°
24. Find the least common multiple (LCM) of 4, 6 and 10
A) 10 B) 24 C) 30 D) 60
25. Convert 134five to a base ten numeral
A) 16 B) 40 C) 44 D) 220
26. A circle has radius 7cm; find its area. (Take π = 22/7)
A) 22 cm2 B) 44 cm2 C) 145 cm2 D) 154 cm2
27. Simplify: ½ - 2/3 + ¾
A) 11/12 B) 7/12 C) 2/3 D) 5/12
28. Solve for x, if ½ x - 4x > 20
A) x < -13 1/3 B) x < -5 5/7 C) x > 5 5/7 D) x > 13 1/3
29. Which of the following is equivalent to 22 × 63?
A) 26 × 33 B) 25 × 33 C) 24 × 3 D) 23 × 33
30. The volume of water in a rectangular tank is 30 cm3. The length of the tank is 5 cm and its breadth is 2 cm. Calculate the depth of water in the tank.
A) 4.0 cm B) 3.0 cm C) 5.0 cm D) 6.0 cm
31. The following temperatures in oC were recorded in 10 cities in Europe;
-4, 5, 2, 0, -6, -4, 3, -6, -4, 7. Find the modal temperature.
A) –2°C B) –4°C C) 0°C D) –6°C
32. The ratio of the ages of two sisters is 4:3. The elder sister is 3 years older than the younger one. How old is the younger sister?
A) 9 years B) 12 years C) 15 years D) 18 years
33. If n2 + 4 = 40, find n
A) 6 B) 18 C) 22 D) 44
34. An angle which is more than 90° but less than 180° is
A) an acute angle
B) a right angle
C) an obtuse angle
D) a reflex angle
35. Arrange the following fractions in ascending order: 4 ¼ , 4 ½ , 4 1/3
A) 4 ¼ , 4 1/3 , 4 ½
B) 4 1/3 , 4 ½ , 4 ¼
C) 4 ½ , 4 ¼ , 4 1/3
D) 4 ½ , 4 1/3 , 4 ¼
36. Prices of items in a shop were reduced by 10% during a reduction sale. If a customer bought an electric fan for ¢81,000.00, what was its original price?
A) ¢72,900.00
B) ¢73,900.00
C) ¢89,100.00
D) ¢90,000.00
37. The marks scored by 8 pupils in a science test are: 3, 7, 8, 8, 5, 4, 8, 4.
What is the median mark?
A) 5 B) 6 C) 7 D) 8
38. The marks scored by 8 pupils in a science test are: 3, 7, 8, 8, 5, 4, 8, 4.
What is the probability that a pupil chosen at random scored 4 marks?
A) ½ B) ¼ C) 1/8 D) 2/47
39. If y = k + ax2, find y when k = 14/5, a = 4/5 and x = 2
A) 30 B) 7 3/5 C) 6 D) 4
40. Which of the following dimensions of a triangle form the sides of a right –angled triangle ?
A) 3cm, 4cm, 6cm
B) 3cm, 5cm, 7cm
C) 5cm, 12cm, 13cm
Answers and Solutions to BECE 2004 Maths Paper 1
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