BECE 1993 Mathematics (Maths) Paper 1 Objectives
BECE PAST QUESTIONS
BECE 1993 MATHEMATICS PAPER 1
OBJECTIVES
- Expand (2a + b) (a + 2b)
A) 2a2 + 2b2
B) 2a2 + b2
C) 5a2 + 2a2
D) 2a2 + 2a + 4ab2
E) 2a2 + 5ab + 2b2 - Find the missing number in the following binary operation:
1100110
- xxxxxxx
111011
A) 111011 B) 101001 C) 100011 D) 101110 E)101011
3. If x = {1, 3, 5, 7, 9, 11, 13, 15}, find the truth set of x – 3 ≥ 10.
A. {15}
B. {13,15}
C. {11,13,15}
D. {9,11,13,15}
E. {7,9,11,13,15}
4. Which of these has the least number of lines of symmetry?
A) an equilateral triangle
B) a rectangle
C) a square
D) a circle
E) an isosceles triangle
5. Find 2% of ¢2,000.00
A) ¢40.00 B) ¢50.00 C) ¢100.00 D) ¢800.00 E) ¢5,000.00
6. Find the highest common factor of 18, 36 and 120.
A) 22×33×5 B) 2×3×5 C) 2×3 D) 23×22 E) 32×22
7. Arrange the fractions ¾, 2/3 , 3/5 in ascending order.
A) 2/3, ¾ , 3/5
B) ¾, 2/3 , 3/5
C) 3/5, 2/3, ¾
D) 3/5 , ¾ , 2/3
E) ¾ , 3/5, 2/3
9. A man has three children whose ages are 9 years, 12 years and 24 years. Find the ratio of their ages.
A) 1:2:3 B) 1:2:4 C) 2:3:6 D) 3:4:8 E)3:6:8
10. Ten students in Kwamekrom JSS took 9 days to weed the school compound. How long would 15 students take to weed the compound if they worked at the same rate?
A) 5 days B) 6 days C) 13 ½ days D) 14 days E) 16 days
11. Which of the following inequalities is / are true?
I: 5/6 > ¾ II: ¾ > 3/5
A. I only
B. II only
C. III only
D. I and II only
E. I and III only
12. Find the image of P in the mapping below
A) P2 + 2 B) P2 + 1 C) 2P + 1 D) P +2 E) p2 – 2
13. A car travelled a distance of 50km in an hour. What distance did it travel in 30 minutes at the same speed?
A) 1,500km B) 100km C) 80km D) 25km E) 20km
14. In an enlargement, the area of the object was multiplied by 144 to get the area of the image. Find the scale factor of the enlargement.
A) 12 B) 36 C) 48 D) 72 E) 144
15. Mr. Yevu saved ¢2,500.00 at a simple interest rate of 25% per annum for 4 years. Calculate the interest he earned on his savings.
A) ¢625.00
B) ¢2,500.00
C) ¢3,125.00
D) ¢5,000.00
E) ¢10,000.00
The table below gives the number of goals scored by a football team in a league season.
No. of goals scored in a match | 0 | 1 | 2 | 3 | 4 | 5 |
Frequency | 1 | 7 | 6 | 4 | 1 | 1 |
16. Find the number of goals scored by the team.
A) 41 B) 40 C) 20 D) 19 E) 15
17. What is the mean number of goals scored by the team?
A) 7 B) 6 C) 4 D) 2 E) 1
18. What is the total number of matches played in the league season?
A) 6 B) 7 C) 19 D) 20 E) 40
19. The probability of obtaining a head when a coin is tossed is 1/3. What is the probability of
obtaining a tail?
A) 1 B) ⅔ C) ½ D) ⅓ E) 0
21. Find in base ten the value of 4 in 143five.
A) 48 B) 40 C) 25 D) 20 E) 9
22. If the interior angle of a regular polygon is 120°, how many sides does it have?
A) 5 B) 6 C) 7 D) 8 E) 9
23. Simplify (3 ½ + 7) ÷ (4 1/3 – 3)
A) 6 7/8 B) 7 C) 7 7/8 D) 10 ½ E) 14
24. Find the solution set of n – 2/3 > 1/3 – N
A. {n: n > -1/6}
B. {n: n = 0}
C. {n: n > 1/3}
D. {n: n > ½}
E. {n: n > 1}
25. In the diagram below, |AE| = |ED| = |DC| = |CE|. Calculate the size of the angle marked x.
A) 150° B) 120° C) 90° D) 60° E) 30°
26. Five times a number is four more than the number. Find the number.
A) 3/2 B) 1 C) 2/3 D) ½ E) –1
27. A basket contains 450 oranges, if each orange costs ¢15.00, find the total cost of the oranges.
A) ¢30.00 B) ¢465.00 C) ¢435.00 D) ¢675.00 E) ¢6,750.00
28. A bottle of soft drink costs ¢200.00. The commission paid on one bottle is 2% of the cost price. Find the commission paid on 24 bottles of the soft drink.
A) ¢96.00 B) ¢296.00 C) ¢400.00 D) ¢4,704.00 E) ¢4,800.00
30. Write 39.975km correct to three significant figures
A) 39km B) 39.975km C) 49km D) 40.0km E) 40.9km
31. Find x if 1/x + 1/3 =1
A) –3/2 B) –2/3 C) ⅔ D) ¾ E) 3/2
32. The bearing of Aboku from Bebeka is 055°. What is the bearing of Bebeka from Aboku?
A) 035° B) 055° C) 125° D) 235° E) 305°
33.
The diagram above shows the construction of :
A) the perpendicular bisector of the line
B) an angle of 45° at the point A
C) an angle of 45° at the point B
D) an angle of 90° at the point O
E) an angle of 90° at the point B
34. The dimensions of the rectangle are given in base two. Find its perimeter.
B) 101two cm
C) 110two cm
D) 1001two cm
E) 1010two cm
35.
A) 2cm2 B) 3cm2 C) 6cm2 D) 20cm2 E) 60cm
36. In the diagram, ABCD is a parallelogram; EC and AF are straight lines. Angle ABC = 110° and angle DEF = 40°. Find the angle marked Ó¨.
A) 30° B) 40° C) 50° D) 70° E) 110°
37. In the diagram below AC // DF. Angle CBT is 40° and angle DET is 140°.
Find the value of the reflex angle marked y.
A) 320° B) 280° C) 220° D) 100° E) 80°
38.
In the diagram above, the angle of elevation of K from M is
A) 17° B) 73° C) 90° D) 107° E) 163°
A) 55° B) 62.5° C) 110° D) 117.5° E) 125°
40. Three girls Ama, Adjoa and Abena measured the length of the sides of 3 right-angled triangles as follows.
Ama's measurements were 80mm, 40mm, 50mm. Adjoa's measurements were 50mm, 120mm, 130mm.
Abena's measurements were 20mm, 30mm and 40mm.
A) Ama's only
B) Abena's and Ama's
C) Adjoa's and Abena's
D) Ama's and Adjoa's only
E) Adjoa's only
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