BECE 2010 Mathematics (Maths) Paper 1 Objectives
BECE PAST QUESTIONS AND ANSWERS
BECE 2010
MATHEMATICS (MATHS)
ESSAY (Paper 1)
1. Which of the following sets is well defined?
A. {Man, Kofi, Red, 14}
B. {Ink, Mango, Green, Nail}
C. {Car, Road, Glass, Book}
D. {Seth, Mary, Jacob, Evelyn}
2. If set B is a subset of set A, then
A) sets A and B have the same number of elements
B) some members of set B can be found in set A
C) no member of set B is in set A
D) all the members of set B are in set A
3. The least common multiple (LCM) of 16, 30 and 36 is
A) 3 B) 6 C) 240 D) 720
4. The sum of 5 and x divided by 4 is equal to 3.25. Find the value of x.
A) 8 B) 7 C) 2¼ D) -3 (4/13)
5. The numbers 32, 33, 34, …, …, 42 form a sequence in base 5.
Find the missing numbers
A) 35, 36 B) 30, 31 C) 40, 41 D) 31, 41
6. Write down all the integers in the set A = {-10, -4, 0, ¼, 2½, 45, 100}
A. {-10, -4, 0, 45, 100}
B. {-10, - 4}
C. {0, 45, 100}
D. {¼, 2½}
7. Find the total cost of 25 pens and 75 books if each pen costs GH¢ 0.20 and each book costs GH¢ 0.30.
A) GH¢22.50 B) GH¢23.50 C) GH¢27.50 D) GH¢50.00
8. Simplify - 27 + 18 – (10 – 14) – (-2)
A) – 3 B) – 7 C) – 11 D) – 35
9. Arrange the following numbers from the lowest to the highest: 0.5, 3, -5, 0.
A) 0, 0.5, -5, 3 B) 0, -5, 0.5, 3 C) -5, 0, 0.5, 3 D) -5, 0.5, 0, 3
10. Find how many pieces of cloth 5½ m long that can be cut from a roll of cloth 121 m long.
A) 665½ B) 115½ C) 66 D) 22
11. Find the value of 124.3 + 0.275 + 74.06, correcting your answer to one decimal place.
A) 198.6 B) 198.7 C) 892.0 D) 892.4
12. Esi and Kwasi are 12 and 8 years old respectively. They share 60 mangoes in the ratio of their ages. How many mangoes does Esi get?
A) 42 B) 40 C) 36 D) 18
13. It takes 6 students 1 hour to sweep their school compound. How long will it take 15 students to sweep the same compound?
A) 24 minutes B) 12 minutes C) 3 hours D) 2 hours
14. A housing agent makes a commission of GH¢ 103,500 when he sells a house for GH¢ 690,000. Calculate the percentage of his commission.
A) 15.0% B) 10.0% C) 7.5% D) 5.0%
15. A simple interest of GH¢ 37,500.00 is earned on an amount of GH¢ 500,000.00 for 3 years. Find the rate of interest per annum.
A) 20.0% B) 10.0% C) 5.0% D) 2.5%
16. Simplify: (8x2y3)(83 xy4)
A) 3x3y7 B) 3x2y7 C) 3x3y4 D) 3xy
17. The scores of 10 students in an examination are given as follows:
45, 12, 75, 81, 54, 51, 24, 67, 19 and 39.
What is the median of the scores?
A) 39 B) 48 C) 51 D) 54
18. A pie chart is to be drawn from the data in the following table:
Cassava
|
20%
|
Yam
|
17%
|
Plantain
|
28%
|
Maize
|
35%
|
What will be the value of the angle of the sector for maize?
A) 126.0° B) 100.8° C) 72.0° D) 61.2°
19. Eighteen cards are numbered from 11 to 29. If one card is chosen at random, what is the probability that it contains the digit 2?
A) 3/9 B) 7/18 C) 5/9 D) 11/18
20. Find the value of x, if x/4 + 1 = 5
A) 24 B) 20 C) 19 D) 16
21. Factorize: xy + 5x + 2y + 10 A.
A. (x + 5)(2y + 10)
B. (x + 2)(y + 10)
C. (x + 5)(y + 2)
D. (x + 2)(y + 5)
22.
A) {2,3,4}
B. {2,3}
C. {3,4}
D. {4,5}
23. Solve the inequality: 7x – (10x + 3) ≥ - 9
A) x ≥ 2 B) x ≤ 4 C) x ≥ 4 D) x ≤ 2
24. Find the rule of the mapping:
A) x→4x-3 B) x→3-4x C) x→4x+3 D) x→4x+5
25. Find the circumference of a circle whose area is equal to 64 π cm2.
A) 32 π cm2 B) 16 π cm2 C) 8 π cm2 D) 4 π cm2
26. Which of the following geometric figures is the plane shape of a cube?
A) Circle
B) Rectangle
C) Square
D) Triangle
27. How many lines of symmetry has a rectangle?
A) 4 B) 3 C) 2 D) 1
28. A rectangular box has length 20 cm, width 6 cm and height 4 cm. Find how many cubes of side 2 cm that will fit into the box.
A) 120 B) 60 C) 30 D) 15
29. The interior angle of a regular polygon is 120°. How many sides has this polygon?
A) 3 B) 4 C) 5 D) 6
30.
In the diagram above, length of PS = length of SQ and angle SQR = 112°. Find the value of x.
A) 68° B) 56° C) 46° D) 44°
31. XYZ is a right-angled triangle with length of sides as shown.
Which of the following equations gives the value of z2?
A) z2 = (x2 + y2)
B) z2 = (x – y)
C) z2 = (y2 – x2)
D) z2 = (x2 – y2)
32. Express 7 min. 30 sec. as a percentage of 1 hour.
A) 2.5% B) 7.5% C) 11.7% D) 12.5%
33. The point (4,5) is translated to the point (3,1). What is the translation vector?
34. In the diagram below, triangle QRT is the enlargement of QST.
Which side of triangle QRT corresponds to side QT of triangle QST?
A) TS B) TR C) QR D) SR
35.
Not drawn to scale
In the diagrams above Fig. I is an enlargement of Fig. II.
Find the side EF of Fig. II
A) 20 cm B) 5 cm C) 4 cm D) 3 cm
36. Express 4037 in standard form
A) 4.037 × 10-4
B) 4.037 × 10-3
C) 4.037 × 103
D) 4.037 × 104
37. Which of the following angles can be constructed by using the arcs at point C in the diagram below?
A) 30° B) 45° C) 60° D) 75°
38.
A) -2 B) - ½ C) ½ D) 2
39.
Not drawn to scale
In the diagram above, the bearing of point B from A is
A) 340° B) 220° C) 140° D) 50°
40. Ama is 9 years older than Kwame. If Kwame is 18 years old, find the ratio of the age of Kwame to that of Ama.
A) 3 : 2 B) 1 : 3 C) 2 : 3 D) 2 : 1
.webp)
No comments: