Find the length of a side of a rhombus whose diagonals are 6cm and 8cm
- A. 8cm
- B. 5cm
- C. 4cm
- D. 3cm
The angle of a sector of a circle, radius 10.5cm, is 48°, Calculate the perimeter of the sector
- A. 8.8cm
- B. 25.4cm
- C. 25.6cm
- D. 29.8cm
P(-6, 1) and Q(6, 6) are the two ends of the diameter of a given circle. Calculate the radius.
- A. 6.5 units
- B. 13.0 units
- C. 3.5 units
- D. 7.0 units
Three brothers in a business deal share the profit at the end of a contract. The first received \(\frac{1}{3}\) of the profit and the second \(\frac{2}{3}\) of the remainder. If the third received the remaining N12000.00 how much profit did they share?
- A. N60 000.00
- B. N54 000.00
- C. N48 000.00
- D. N42 000.00
Simplify \(\sqrt{27}\) + \(\frac{3}{\sqrt{3}}\)
- A. 4\(\sqrt{3}\)
- B. \(\frac{4}{\sqrt{3}}\)
- C. 3\(\sqrt{3}\)
- D. \(\frac{\sqrt{3}}{4}\)
Simplify and express in standard form \(\frac{0.00275 \times 0.00640}{0.025 \times 0.08}\)
- A. 8.8 x 10-1
- B. 8.8 x 10-2
- C. 8.8 x 10-3
- D. 8.8 x 103
Three children shared a basket of mangoes in such a way that the first child took \(\frac{1}{4}\) of the mangoes and the second \(\frac{3}{4}\) of the remainder. What fraction of the mangoes did the third child take?
- A. \(\frac{3}{16}\)
- B. \(\frac{7}{16}\)
- C. \(\frac{9}{16}\)
- D. \(\frac{13}{16}\)
At what rate would a sum of N100.00 deposited for 5 years raise an interest of N7.50?
- A. \(\frac{1}{2}\)%
- B. 2\(\frac{1}{2}\)%
- C. 1.5%
- D. 25%
Find the mean deviation of 1, 2, 3 and 4
- A. 1.0
- B. 1.5
- C. 2.0
- D. 2.5
Correct 241.34(3 x 10\(^{-3}\))\(^2\) to 4 significant figures
- A. 0.0014
- B. 0.001448
- C. 0.0022
- D. 0.002172
Find the derivative of the function y = 2x\(^2\)(2x – 1) at the point x = -1?
- A. 18
- B. 16
- C. -4
- D. -6
The ratio of the length of two similar rectangular blocks is 2 : 3. If the volume of the larger block is 351cm\(^3\), then the volume of the other block is?
- A. 234.00 cm3
- B. 526.50 cm3
- C. 166.00 cm3
- D. 687cm3
find the value of p if the line which passes through (-1, -p) and (-2,2) is parallel to the line 2y+8x-17=0?
- A. \(\frac{-2}{7}\)
- B. \(\frac{7}{6}\)
- C. \(\frac{-6}{7}\)
- D. 2
A trapezium has two parallel sides of lengths 5cm and 9cm. If the area is 91cm\(^2\), find the distance between the parallel sides
- A. 13 cm
- B. 4 cm
- C. 6 cm
- D. 7 cm
determine the maximum value of y=3x\(^2\) + 5x – 3
- A. 6
- B. 0
- C. 2
- D. No correct option
What is the rate of change of the volume V of a hemisphere with respect to its radius r when r = 2?
- A. 8π
- B. 16π
- C. 2π
- D. 4π
In how many ways can 2 students be selected from a group of 5 students in a debating competition?
- A. 25 ways
- B. 10 ways
- C. 15 ways
- D. 20 ways
Solve the following equation: \(\frac{2}{(2r – 1)}\) – \(\frac{5}{3}\) = \(\frac{1}{(r + 2)}\)
- A. ( -1,\(\frac{5}{2}\) )
- B. ( 1, - \(\frac{5}{2}\) )
- C. ( \(\frac{5}{2}\), 1 )
- D. (2,1)
(a) In the diagram, AB is a tangent to the circle with centre O, and COB is a straight line. If CD//AB and < ABE = 40°, find: < ODE.
(b) ABCD is a parallelogram in which |\(\overline{CD}\)| = 7 cm, I\(\overline{AD}\)I = 5 cm and < ADC= 125°.
(i) Illustrate the information in a diagram.
(ii) Find, correct to one decimal place, the area of the parallelogram.
(c) If x = \(\frac{1}{2}\)(1 – \(\sqrt{2}\)). Evaluate (2x\(^2\) – 2x).
(a) In the diagram, MNPQ is a circle with centre O, |MN| = |NP| and < OMN = 50°. Find:
(I) < MNP
(ii) < POQ
(b) Find the equation of the line which has the same gradient as 8y + 4xy = 24 and passes through the point (-8, 12)
The table shows the distribution of marks obtained by students in an examination.
| Marks (%) | 0 – 9 | 10 – 19 | 20 – 29 | 30 – 39 | 40 – 49 | 50 – 59 | 60 – 69 | 70 – 79 | 80 – 89 | 90 – 99 |
| Frequency | 7 | 11 | 17 | 20 | 29 | 34 | 30 | 25 | 21 | 6 |
(a) Construct a cumulative frequency table for the distribution.
(b) Draw the cumulative frequency curve for the distribution.
(c) Using the curve, find correct to one decimal place, the:
(i) median mark;
(ii) lowest mark for the distinction if 5% of the students passed with distinction