2000 Mathematics

1. Express 7/19 as a percentage, correct to one decimal place

• A. 2.7%
• B. 3.7%
• C. 27.1%
• D. 36.8%

2. Express 398753 correct to three significant figures

• A. 398000
• B. 398700
• C. 398800
• D. 399000

3. simplify 10/√32

• A. 5/4 √2
• B. 4/5 √2
• C. 5/16 √2
• D. 16/5 √2

4. Find the missing number in the addition of the following numbers, in base seven

4 3 2 1

1 2 3 4

∗ ∗ ∗ ∗

1 2 3 4 1

• A. 3453
• B. 5556
• C. 6016
• D. 13453

5. What fraction must be subtracted from the sum of 2 (1/6) and 2 (7/12) to give 3 (1/4)?

• A. 1/3
• B. 1/2
• C. 1 (1/6)
• D. 1 (1/2)

6. Simplify (16/81)^−3/4 × √(100/81)

• A. 80/243
• B. 1/64
• C. 2/56
• D. 15/4

7. Which of the following numbers is perfect cube?

• A. 350
• B. 504
• C. 950
• D. 1728

8. If 104_x = 68, find the value of x

• A. 5
• B. 7
• C. 8
• D. 9

9. The ages of three men are in the ratio 3:4:5. If the difference between the ages of the oldest and youngest is 18 years, find the sum of the ages of the three men

• A. 45 years
• B. 72 years
• C. 108 years
• D. 216 years

10. Given that log₄x=−3 find x.

• A. 1/81
• B. 1/64
• C. 64
• D. 81

11. Given that the logarithm of a number is 1-.87321, find, correct to 2 significant figures the square root of the number.

• A. 0.29
• B. 0.75
• C. 0.86
• D. 0.93

12. A car moves at an average speed of 30kmh⁻¹, how long does it take to cover 200 meters?

• A. 2.4 sec
• B. 24 sec
• C. 144 sec
• D. 240 sec

13. A man bought a television set on hire purchase for N25,000, out of which he paid N10,000, if he is allowed to pay the balance in eight equal installments, find the value of each installment.

• A. N1250
• B. N1578
• C. N1875
• D. N3125

14. A tree is 8km due south of a building. Kofi is standing 8km west of the tree. How far is Kofi from the building?

• A. 4√2km
• B. 8km
• C. 8√2km
• D. 16km

15. A tree is 8km due south of a building. Kofi is standing 8km west of the tree. Find the bearing of Kofi from the building

• A. 315^o
• B. 270^o
• C. 225^o
• D. 135^o

16. Which of the following bearings is equivalent to S50°W?

• A. 040^o
• B. 130^o
• C. 220^o
• D. 230^o

17.

In the diagram, AB is a vertical pole and BC is horizontal. If |AC| = 10m and |BC| = 5m, calculate the angle of depression of C from A

• A. 63^o
• B. 60^o
• C. 45^o
• D. 27^o

18.

The bar chart shows the distribution of marks scored by a group of students in a test. Use the chart to answer the question below
How many students scored 4 marks and above?

• A. 15
• B. 11
• C. 10
• D. 17

19.

The bar chart shows the distribution of marks scored by a group of students in a test. Use the chart to answer the question below
How many students took the test?

• A. 38
• B. 32
• C. 15
• D. 11

20. Calculate the standard deviation of the following marks; 2, 3, 6, 2, 5, 0, 4, 2

• A. 1.5
• B. 1.7
• C. 1.8
• D. 1.9

21. The probabilities that Kodjo and Adoga pass an examination are 3/4 and 3/5 respectively. Find the probability of both boys failing the examination

• A. 1/10
• B. 3/10
• C. 9/20
• D. 2/3

22. Which of the following statement is not true about a rectangle? I.Each diagonal cuts the rectangle into two congruent triangles. II. A rectangle has four lines of symmetry III. The diagonals intersect at right angles

• A. I and II only
• B. III only
• C. II only
• D. II and III only

23.

In the diagram, PQRS is a circle center O. PQR is a diameter and ∠PRQ = 40°. Calculate ∠QSR.

• A. 30^o
• B. 40^o
• C. 45^o
• D. 50^o

24. Each side of a regular convex polygon subtends an angle of 30° at its center. Calculate each interior angle

• A. 75^o
• B. 150^o
• C. 160^o
• D. 68^o

25. If the interior angles of hexagon are 107°, 2x°, 150°, 95°, (2x-15)° and 123°, find x.

• A. 5712∘5712∘
• B. 65∘65∘
• C. 106∘106∘
• D. 120∘

26.

In the diagram, POS and ROT are straight lines, OPQR is a parallelogram. |OS| = |OT| and ∠OST = 50°. Calculate ∠OPQ.

• A. 160^o
• B. 140^o
• C. 120^o
• D. 100^o

27. Given that x= −1/2 and y = 4 evaluate 3x²y + xy²

• A. -5
• B. -1
• C. 4
• D. 11

28. Given that \(27^{(1+x)}=9,)\ find x

• A. -3
• B. −1/3
• C. 5/3
• D. 2

29. If x varies inversely as y and x = 2/3 when y = 9, find the value of y when x = 3/4

• A. 1/18
• B. 8/81
• C. 9/2
• D. 8

30. Given that (2x + 7) is a factor of 2x² + 3x − 14, find the other factor

• A. x + 2
• B. 2 – x
• C. x – 2
• D. x + 1