Mathematics Past Questions And Answers
Find the equation of the locus of a point P(x,y) such that PV = PW, where V = (1,1) and W = (3,5)
- A. 2x + 2y = 9
- B. 2x + 3y = 8
- C. 2x + y = 9
- D. x + 2y = 8
Make S the subject of the formula: \(V = \frac{K}{\sqrt{T-S}}\)
- A. \(T-\frac{K^2}{V^2} = S\)
- B. \(T+\frac{K^2}{V^2} = S\)
- C. \(T-\frac{K^2}{V} = S\)
- D. \(T-\frac{K}{V} = S\)
Divide 666 cowries between 6 women traditional gods worshipers. How much does each receive?
- (a) 111
- (b) 110
- (c) 66
- (d) 660
a. In the diagram below, PQR is an equilateral triangle of side 18 cm. M is the midpoint of QR. An arc of a circle with center P touches QR at M and meets PQ at A and PR at B. Calculate, correct totwo decimal places, the area of the shaded region. (take \(\pi = \frac{22}{7})\)
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If y + 2x = 4 and y - 3x = -1, find the value of (x + y)
- A. 3
- B. 2
- C. 1
- D. -1
Which of the following about a rhombus may not be true?
- A. The diagonals are equal
- B. The diagonals bisect the angles through which they pass
- C. the diagonals bisect each other
- D. The adjacent sides are equal
Find the value of x in 0.5x + 2.6 = 5x + 0.35
- A. 0.5
- B. 2
- C. 2.6
- D. 5
The ages of Tunde and Ola are in the ratio 1:2. If the ratio of Ola's age to Musa's age is 4:5, what is the ratio of Tunde's age to Musa's age?
- A. 1 : 4
- B. 1 : 5
- C. 2 : 5
- D. 5 : 2
In the diagram, NR is a diameter, ∠MNR = x° and, ∠SRN = (5x + 20)°. Find the value of 2x.
- A. \(42^0\)
- B. \(35^0\)
- C. \(20^0\)
- D. \(90^0\)
In how many ways can a team of 3 girls be selected from 7 girls?
- A. \(\frac{7!}{3!}\)
- B. \(\frac{7!}{4!}\)
- C. \(\frac{7!}{3!4!}\)
- D. \(\frac{7!}{2!5!}\)