Using the above graph, if 10ΒΊ < x < 60ΒΊ, what is the value of x for which sin x = cos x?
- A. 0o
- B. 20o
- C. 30o
- D. 45o
- E. 50o
In the diagram above ABDE and FCDE are parallelograms. If |FC| = 12.2cm and the height |PC| = 4.0cm, calculate the area of the parallelogram ABDE.
- A. 3.05cm2
- B. 8.20cm2
- C. 16.20cm2
- D. 24.40cm2
- E. 48.8cm2
In the diagram above, β SPR = P and β SQR = 2x. Find x in terms of P
- A. x = p + 2
- B. x = p - 2
- C. x = p2
- D. x = p/2
- E. x = 2p
Instead of recording the number 1.23cm of the radius of a tube, a student recorded 1.32cm. Find the percentage of error, correct to one decimal place.
- A. 6.8%
- B. 7.3%
- C. 9.6%
- D. 14.4%
- E. 15.4%
The angle of elevation of X from Y is 30o. If XY = 40m, how high is X above the level of Y?
- A. 10m
- B. 20m
- C. 20β3m
- D. 40m
- E. 50m
Factorize the following expression; 2x2 + x – 15
- A. (2x+5)(x-3)
- B. (2x-5)(x+3)
- C. (2x-5)(x-3)
- D. (2x-3)(x+5)
- E. (2x+5)(x+3)
The graph above is that of a quadratic function y = 2x2 – x – 6
The roots of the equation are
- A. 1.5, 2
- B. -1.5, 2
- C. 1, -6
- D. 1, 6
- E. -1, 6
Evaluate \(\frac{0.009}{0.012}\), leaving your answer in standard form.
- A. 7.5 x 102
- B. 7.5 x 101
- C. 7.5 x 10-1
- D. 7.5 x 10-2
- E. 7.5 x 10-3
Factorize 35 – 2b – b2
- A. (35-2b)(b-1)
- B. (7+b)(5-b)
- C. (3+7b)(5-b)
- D. (35-b)(3b+7)
- E. (7+b)(5+b)
Evaluate, using logarithm tables \(\frac{5.34 \times 67.4}{2.7}\)
- A. 1.332
- B. 13.32
- C. 133.2
- D. 1332
- E. 13.320
In the diagram O is the center of the circle, if β QRS = 62o, find the value of β SQR.
- A. 14o
- B. 28o
- C. 31o
- D. 45o
- E. 90o
In the diagram above, TPS is a straight line, PQRS is a parallelogram with base QR and height 8cm. |QR| = 6cm and the area of triangle QST is 52cm2. Find the area of ΞQPT
- A. 39cm2
- B. 28cm2
- C. 24cm2
- D. 21cm2
- E. 19cm2
If the second and fourth term of a G.P are 8 and 32 respectively,what is the sum of the first four terms?
- A. 28
- B. 40
- C. 48
- D. 60
- E. 68
If 3loga + 5loga – 6loga = log64, what is a?
- A. 4
- B. 6
- C. 8
- D. 16
- E. 32
The surnames of 40 children in a class arranged in alphabetical order. 16 of the surnames begins with O and 9 of the surname begins with A, 14, of the letters of the alphabet do not appear as the first letter of a surname
If more than one surname begins with a letter besides A and O, how may surnames begin with that letter
- A. 2
- B. 3
- C. 4
- D. 5
- E. 6
The surnames of 40 children in a class arranged in alphabetical order. 16 of the surnames begins with O and 9 of the surname begins with A, 14, of the letters of the alphabet do not appear as the first letter of a surname
What is the probability that the surname of a child picked at random from the class begins with either O or A?
- A. 5/8
- B. 7/8
- C. 9/16
- D. 14/25
- E. 39/40
The histogram below shows the number of candidates, in thousands, obtaining given ranges of marks in a State examination. How many candidates scored at most 30%?
- A. 15,000
- B. 20,000
- C. 25,000
- D. 35,000
- E. 60,000
The histogram below shows the number of candidates, in thousands, obtaining given ranges of marks in a State examination. Find the total number of candidates that sat for the examination
- A. 80,000
- B. 120,000
- C. 250,000
- D. 260,000
- E. 270,000
If Q = (all perfect squares less than 30) and P = (all odd numbers from 1 to 10). Find Q β© P.
- A. (1, 4, 9, 16, 25)
- B. (1, 3, 4, 5, 7, 9, 16, 25)
- C. (1, 3, 5, 7, 9)
- D. (1, 9)
- E. Ξ¦
Cotonou and Niamey are on the same line of longitude and Niamey is 7o north of Cotonou. If the radius of the earth is 6400km, how far is Niamey north of Cotonou along the line of longitude, correct to the nearest kilometer? [Take Ο = 22/7]
- A. 391km
- B. 503km
- C. 782km
- D. 1006km
- E. 2012km
In the diagram above, PR is perpendicular from P to QS, PQ = 2cm, QR = 1cm and PR = RS. what is the size of the angle QPS?
- A. 135o
- B. 105o
- C. 90o
- D. 75o
- E. 60o