(a) 
In the diagram
(i) The value of x; (ii)
(b) If \(2N4_{seven} = 15N_{nine}\), find the value of N.
(a) The diagonals of a rhombus are 10.2 cm and 9.3 cm long. Calculate, correct to one decimal place, the perimeter of the rhombus.
(b) Given that \(\sin x = \frac{3}{5}, 0° < x < 90°\), find the value of \(5\cos x – 4\tan x\).
(a) The graph of \(y = 2px^{2} – p^{2}x – 14\) passes through the point (3, 10). Find the values of p.
(b) Two lines, \(3y – 2x = 21\) and \(4y + 5x = 5\) intersect at the point Q. Find the coordinates of Q.
A used car was purchased at N900,000.00. Its value depreciated by 30% in the first year. In each subsequent year, the depreciation was 22% of its value at the beginning of the year. If the car was bought on the 1st of March, 2011, calculate, correct to the nearest hundred naira, the value of the car on the 28th of February, 2015.
In the diagram, RPS is a diameter of the circle RSP, RP is produced to T and TS is a tangent to the circle at S. If < PRS = 24\(^o\), calculate the value of < STR
- A. 24\(^o\)
- B. 42\(^o\)
- C. 48\(^o\)
- D. 66\(^o\)
The graph of y = \(ax^2 + bx + c\) is shown oon the diagram. Find the minimum value of y
- A. -2.0
- B. -2.1
- C. -2.3
- D. -2.5
Find the value of m in the diagram
- A. 72\(^o\)
- B. 68\(^o\)
- C. 44\(^o\)
- D. 34\(^o\)
The diagonal of a square is 60 cm. Calculate its peremeter
- A. 20\(\sqrt{2}\)
- B. 40\(\sqrt{2}\)
- C. 90\(\sqrt{2}\)
- D. 120\(\sqrt{2}\)
A stationary boat is observed from a height of 100m. If the horizontal distance between the observer and the boat is 80m, calculate, correct to two decimal places, the angles of depression of the boat from point of observation
- A. 36.87\(^o\)
- B. 39.70\(^o\)
- C. 51.34\(^o\)
- D. 53.13\(^o\)
In the diagram, NQ//TS, <RTS = 50\(^o\) and <PRT = 100\(^o\). Find the value of <NPR
- A. 110\(^o\)
- B. 130\(^o\)
- C. 140\(^o\)
- D. 150\(^o\)
In a class of 45 students, 28 offer chemistry and 25 offer Biology. If each student offers at least one of the two subjects, calculate the probability that a student selected at random from the class the class offers chemistry only.
- A. \(\frac{2}{9}\)
- B. \(\frac{4}{9}\)
- C. \(\frac{5}{9}\)
- D. \(\frac{7}{9}\)
| Marks | 0 | 1 | 2 | 3 | 4 | 5 |
| Frequency | 7 | 4 | 18 | 12 | 8 | 11 |
The table gives the distribution of marks obtained by a number of pupils in a class test. Using this information, find the first quartile
- A. 1.0
- B. 1.5
- C. 2.0
- D. 2.5
| Marks | 0 | 1 | 2 | 3 | 4 | 5 |
| Frequency | 7 | 4 | 18 | 12 | 8 | 11 |
The table gives the distribution of marks obtained by a number of pupils in a class test. Using this information, Find the median of the distribution
- A. 4
- B. 3
- C. 1
- D. 2
In the diagram, PQ and PS are tangents to the circle O. If PSQ = m, <SPQ = n and <SQR = 33\(^o\), find the value of (m + n)
- A. 103\(^o\)
- B. 123\(^o\)
- C. 133\(^o\)
- D. 143\(^o\)
The diagram shows a circle O. If < ZYW = 33\(^o\) , find < ZWX
- A. 33\(^o\)
- B. 57\(^o\)
- C. 90\(^o\)
- D. 100\(^o\)
In the diagram, XY is a straight line. <POX = <POQ and <ROY = <QOR. Find the value of <POQ + <ROY.
- A. 60\(^o\)
- B. 90\(^o\)
- C. 100\(^o\)
- D. 120\(^o\)
The diagram shows a circle centre O. if 29 and
- A. 12\(^o\)
- B. 15\(^o\)
- C. 29\(^o\)
- D. 34\(^o\)
Fig. 1 and Fig. 2 are the addition and multiplication tables respectively in modulo 5. Use these tables to solve the equation (n \(\oplus 4\))
- A. 1
- B. 2
- C. 3
- D. 4
A circular pond of radius 4m has a path of width 2.5m round it. Find, correct to two decimal places, the area of the path. [Take\(\frac{22}{7}\)]
- A. 7.83\(m^2\)
- B. 32.29\(m^2\)
- C. 50.29\(m^2\)
- D. 82.50\(m^2\)
Calculate the variance of 2, 3, 3, 4, 5, 5, 5, 7, 7 and 9
- A. 2.2
- B. 3.4
- C. 4.0
- D. 4.2
If the simple interest on a certain amount of money saved in a bank for 5 years at 2\(\frac{1}{2}\)% annum is N500.00, calculate the total amount due after 6 years at the same rate
- A. N2,500.00
- B. N2,600.00
- C. N4,500.00
- D. N4,600.00