BECE 2006 Mathematics (Maths) Paper 1 Objectives
BECE PAST QUESTIONS AND ANSWERS
BECE 2006
MATHEMATICS (MATHS)
OBJECTIVES (Paper 1)
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.
A. {1,3,5,7,11}
B. {1,3,5,7,9,11}
C. {2,4,8,9,13,14}
D. {1, 2, 3, 5, 6, 7, 9, 10, 11, 12}
2. If x is an integer, list the members of the set, {2 ≤ x < 10}
A. {3,4,5,6,7,8,9}
B. {2,3,4,5,6,7,8,9}
C. {3,4,5,6,7,8,9,10}
D. {2,3,4,5,6,7,8,910}
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.
A) 240 B) 288 C) 600 D) 840
5. Find the circumference of a circle with radius 3.5 cm. (Take π = 22/7)
A) 11 cm B) 22 cm C) 35 cm D) 38.5 cm
6. Which of the following are the prime factors of 12?
A) {1, 3} B. {2, 3} C. {2, 4, 6, 12} D. {2, 3, 4, 6}
7. The base of an isosceles triangle is 7cm long. Each of the other two sides is x cm long. What will be the expression for its perimeter?
A) x+7 B) x+14 C) 2x-7 D) 2x+7
8. Correct 0.003858 to three significant figures
A) 0.00385 B) 0.00386 C) 0.0039 D) 386
9. Find the value of a – 3ab when a = -2 and b = 3
A) -20 B) -16 C) 16 D) 20
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?
A) 300 B) 400 C) 500 D) 600
11. A train travels at a speed of 80km per hour. How long will it take to travel a distance of 320km?
A) 2 hours B) 3 hours C) 4 hours D) 5 hours
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?
A) ¢202,400.00
B) ¢303,600.00
C) ¢404,800.00
D) ¢455,400.00
14. The next term in the sequence 3, 6, 12, 24, …
A) 27 B) 30 C) 36 D) 48
15. Express 350 as a product of prime factors
A) 2 × 5 × 7 B) 2 × 52 × 7 C) 2 × 5 × 72 D) 22 × 5 × 7
16. Express 962 in standard form.
A) 96.2 x 10
B) 9.62 x 102
C) 0.962 x 103
D) 0.0962 x 104
17.
Which of the following inequalities is shown on the number line above, where p {real numbers}
A) -2 < p < 3 B) -2 ≥ p > 3 C) -2 < p ≤ 3 D) -2 > p ≥ 3
A) 3 B) 4 C) 5 D) 6
19. Arrange the fractions ¾ , 2/3, 4/5 in ascending order of magnitude.
A) ¾, 2/3, 4/5
B) 4/5, 2/3, ¾
C) 4/5, ¾, 2/3
D) 2/3,3/4,4/5
20. Express 87ten as a base five numeral.
A) 302five B) 322five C) 3022five D) 3202five
21. A bag contains 6 blue and 5 black balls. What is the probability of picking a black ball at random?
A) 1/11 B) 1/5 C) 5/11 D) 6/11
22.
A) 6 B) 9 C) 12 D) 18
The table below gives the ages of members of a juvenile club.
Use it to answer Questions 23 and 24
Age in years
|
8
|
9
|
10
|
11
|
Frequency
|
5
|
10
|
6
|
9
|
23. How many people are in the club?
A) 15 B) 20 C) 30 D) 38
24. What is the modal age of the members of the club?
A) 8 years B) 9 years C) 10 years D) 11 years
25. In an examination, 154 out of 175 candidates passed. What percentage failed?
A) 6% B) 12% C) 13% D) 18%
26. Expand (6 – x)(6 + y)
A) 36 – 6x + 6y – xy
B) 36 – 6x – 6y + xy
C) 36 – 6x – xy
D) 36 + 6y – xy
27. Find the highest common factor (HCF) of 20, 12 and 28.
A) 2 B) 4 C) 8 D) 12
28. If F = 9/5 c +32 find F when C = 40.
A) 49 B) 78.4 C) 104 D) 129.6
29. Evaluate 2/3 (27 – 12) – 6.
A) 4 B) 6 C) 14 D) 16
30.
In the figure, PQR is a straight line. Angle TQP = x°, angle TQS = 102° and angle SQR = 2x°. Find the value of x.
A) 78 B) 39 C) 34 D) 26
31. Factorize 22ab – 11ac + 6rb – 3rc.
A. (2b – c) (11a + 3r)
B. (2b + c) (11a – 3r)
C. (2b – c) (11a – 3r)
D. (2b + c) (11a + 3r)
32. Find the sum of 124.3, 0.275 and 74.06. (Correct your answer to one decimal place)
A) 198.6 B) 198.7 C) 892.0 D) 892.4
33. Simplify 6p3 × p2 ÷ 3p4
A) 2p B) 3p C) 18p D) 2p2
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
A) ¢15,000.00 B) ¢30,000.00 C) ¢45,000.00 D) ¢60,000.00
36. What is the value of the digit 9 in the number 624.93?
A) 9 hundreds B) 9 tens C) 9 units D) 9 tenths
37. The marks obtained by 5 girls in a test are: 10, 15, 8, 18, 12.
Find the median mark.
A) 10 B) 11 C) 12 D) 15
39.
In the diagram above, KGM is a right-angled triangle and angle GKM = 62°. Find the angle of elevation of K from M.
A) 28° B) 62° C) 90° D) 118°
Answers and Solutions to BECE 2006 Maths Paper 1
Find in the video below the solutions and answers to this maths past question.
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