BECE 1990 Mathematics (Maths) Paper 1 Objectives
BECE PAST QUESTIONS
BECE 1990 MATHEMATICS (MATHS)
OBJECTIVES (PAPER 1)
- If P = {7, 9, 13}, Q = {1, 7, 13}. Find P ∩ Q
A. {1, 7, 13}
B. {1, 9, 13}
C. {7, 13}
D. {7, 9, 13}
E. {13}
- In the diagram, Q is the set of numbers inside the circle and T is the set of numbers inside the triangle. Find Q U T.
A. {5}
B. {6, 7}
C. {3, 4, 5}
D. {5, 6, 7}
E. {3, 4, 5, 6, 7}
- Given that (23 × 82) × 79 = 148,994, find the exact value of (2.3 × 82) × 7.9
A) 14.8994 B) 148.994 C) 1489.94 D) 14899.4 E) 148994.0
- Convert 25ten to a base two numeral
A) 1000 B) 100111 C) 10101 D) 11001 E) 11100
- If (3.14 × 18) × 17.5 = 3.14 × (3a × 17.5). Find the value of a.
A) 3.0 B) 5.8 C) 6.0 D) 9.0 E) 18.0
- If 26039 oranges are shared equally among 13 women, how many oranges does each woman receive?
A) 23 B) 1203 C) 230 D) 2003 E) 2300
- Mr. Mensah withdrew some money from the bank. He gave ½ of it to his sons and ⅓ to his daughter. If he had ¢500.00 left, how much did he take from the bank?
A) ¢600.00 B) ¢750.00 C) ¢1500.00 D) ¢2000.00 E) ¢3000.00
- Simplify ½ (1 ½ + ¾ ÷ ¼)
A) 1 ½ B) 2 ¼ C) 2 ¾ D) 4 ½ E) 6
- If 21:2x = 7:10, find x.
A) 3 B) 2 ¼ C) 15 D) 35 E) 50
X is a point on the line segment AB such that |AB| = 10cm and |AX| = 4cm. Find the ratio |AX| : |XB|
A) 5:3 B) 3:2 C) 5:4 D) 1:1 E) 2:3
- In an examination, 60% of the candidates passed. The number that passed was 240. How many candidates failed?
A) 140 B) 160 C) 360 D) 400 E) 600
- A table which cost ¢2,400.00 to manufacture was sold for ¢3,000.00. Find the profit percent.
A) 80% B) 25% C) 24% D) 20% E) 11.1%
- If a = 22 × 23 ÷ 24, find the value of a
A) 29 B) 25 C) 22 D) 2 E) 20
- The distance between two towns is 12875km. Express this distance in standard form.
A) 1.2875 x 103 km
B) 1.2875 x 104 km
C) 12.875 x 103 km
D) 128.75 x 102 km
E) 12.875 x 104 km
The pie chart shows the monthly expenditure of Mr. A
whose monthly income is ¢18,000.00.
- What fraction of Mr. A's income is spent on food?
A) 1/6 B) ¼ C) 1/3 D) 2/5 E) ½
- How much does Mr. A spend on rent?
A) ¢90.00
B) ¢450.00
C) ¢4,500.00
D) ¢9,000.00
E) ¢16,200.00
- What is the size of the angle that represents savings?
A) 40° B) 60° C) 130° D) 230° E) 320°
- Find the missing addend
44.30
****
19.18
20.45
- 83.39 B) 19.69 C) 25.12 D) 23.85 E) 4.67
- Remove the brackets: a – 2(b – 3c)
A) a–2b–3c
B) a–2b - 6c
C) a–2b+6c
D) a+2b+6c
E) a–2b+3c
- Simplify 2a/3 – a-b
2
- If q = ut + ½ ft, find q when u = 20, t = 10 and f = 15
A) 350 B) 275 C) 237.5 D) 55 E) 42.5
- If 3/15 is equivalent to 45/a, find a.
A) 225 B) 150 C) 135 D) 30 E) 9
- Find the least common multiple of 7, 14 and 18
A) 71418 B) 1764 C) 252 D) 126 E) 98
In triangle XYZ, |XZ| = 13cm, |XY| = 12cm and angle XYZ = 90°. Find |YZ| if the area of the triangle is 30cm2.
A) 25 cm B) 14 cm C) 12.5 cm D) 5 cm E) 1 cm
- Write 1204five as a number in base ten.
A) 9996 B) 179 C) 39 D) 35 E) 19
- Multiply (2x + y) by (2x – y)
A) 4x2–4xy–y2
B) 4x2+xy–y2
C) 4x2–xy–y2
D) 4x2+y2
E) 4x2–y2
- A watchman was paid a basic wage of ¢250.00 a day. If he worked every day in the month, calculate his basic wage for February 1988.
A) ¢6250.00
B) ¢7200.00
C) ¢7250.00
D) ¢7750.00
E) ¢8750.00
- A tank contains 250 litres of water. If 96 litres are used, what percentage of the original quantity is left?
A) 61.6% B) 60.5% C) 59.0% D) 54.2% E) 38.4%
- Evaluate 10 ¸ (3 ½ + 1 1/5)
- 2 6/47 B) 2 1/6 C) 4 D) 4 2/35 E) 4 7/10
- A bag contains 24 marbles, 10 of which are blue and the rest green. A boy picks a marble at random from the bag. What is the probability that he picks a green marble?
A) 1/14 B) 7/17 C) 5/12 D) 7/12 E) 7/10 - Which of the following inequalities is represented on the number line, where n is a real number?
A) n ≥ -3 B) n < -3 C) n ≤ -3 D) n > -3 E) n = 3
- What is the name of the line segment drawn to join any two points on the circumference of a circle?
A) arc B) chord C) radius D) sector E) segment
Use the mapping to answer questions 33 and 34
- Find the value of x
A) 9.42 B) 12 C) 18 D) 18.84 E) 25.12
- Find the value of y
A) 2 B) 5 C) 7 D) 9 E) 10
- The area of a square is 49cm2. Find the perimeter of the square.
A) 7cm B) 14cm C) 28cm D) 49cm E) 196cm
- The least number in a set of real numbers is 24 and the greatest is 30. Which of the following is the correct interpretation of the statement?
A) 24 ≤ x ≤ 30
B) 24 < x < 29
C) 23 < x < 29
D) 24 < x < 30
E) 23 ≤ x ≤ 29
Find the area of the trapezium MNOP.
A) 120cm2 B) 72cm2 C) 60cm2 D) 48cm2 E) 38cm2
- The length of a field, 1.2 km long is represented on a map by a line 40 mm long. What is the scale of the map?
A) 1:100 B) 1:300 C) 1:1000 D) 1:3000 E) 1:30000
The diagram shows the construction for:
A) Copying a given angle
B) Bisecting a line segment
C) Drawing a perpendicular to a given line
D) Bisecting a given angle
E) Drawing an angle of 30°
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