2024
(a) In the diagram above, ABT is a circle centre O. \(\overline{PQ}\) is a tangent to the circle at T and ABC is a straight line. \(\overline{TC}\) bisects \(\angle\)BTQ, \(\angle\)BAT = 44º and \(\angle\)PTA = 60º. F…
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2024 WAEC SSCE Mathematics Past Questions
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2024
(a) In the diagram above, \(\overline{PR}\) is a tangent to the circle O at Q. \(\angle\)POQ = 56º and \(\overline{PO}\) intersect \(\overline{SO}\) at V such that \(\angle\)SVP = 109º. Calculate: (i) \(\angle\)TQP…
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2024
(a) Find the equation of the line that passes through the origin and the point of intersection of the lines \( x + 2y = 7 \) and \( x - y = 4 \). (b) The ratio of an interior angle to an exterior angle of a regular polyg…
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2024
(a) In a man's will, he gave \(\frac{2}{5}\) of the total acres of the farm to the wife and \(\frac{1}{3}\) of what is left to the family. The rest of the farm was to be shared amongst his three children in the ratio 3:…
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2024
The diameter of a circle centre O is 26 cm. If a chord \(\overline{PQ}\) is drawn such that it is 5 cm from O to the centre of the chord, calculate, correct to the nearest whole number, the (a)\(\angle\)POQ (b) Area of…
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2024
Two observers Abu and Badu, 46 m apart, observe a bird on a vertical pole from the same side of the bird. The angles of elevation of the bird from Abu's and Badu's eye are 40º and 48º respectively. If at the foot of the…
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2024
AGE 5 6 7 8 9 10 FREQUENCY 2 2x - 1 y + 2 4 2 y - 1 The table shows the ages of 20 children in a household. Given that x: y = 1: 2 (a) values of x and y (b) mean ages of the children.
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2024
SECTION B Given that (x + 2), (4x + 3), and (7x + 24) are consecutive terms of a Geometric Progression (G.P.), find the: a) value of x b) common ratio.
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2024
A basket contains 3 gold-plated marbles, 4 diamond marbles, and some silver marbles, all of the same size and shape. Two marbles were drawn from the basket at random one after the other without replacement. If the probab…
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2024
In the diagram, ABCD is a circle O. The quadratic OBCD is a rhombus such that \(\angle\)ADO = \(\angle\)OBA = y and \(\angle\)BAD = t. Find; (a) the value of t; (b) the value of y; (c) \(\angle\)ADC.
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2024
A circular floor of a building is to be tiled with ceramic tiles each of side 40 cm. If the perimeter of the floor is 66 m, calculate, correct to the nearest whole number, the number of tiles required to comple…
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2024
A car travelled at a distance of (2x + 13) km at 67.5 km/h and (5x − 20) km at 72 km/h. If the total time for the entire journey was 90 minutes, find the value of x.
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2024
The time(t) taken to buy fuel at a filling station varies directly as the number of vehicles(V) in a queue and varies inversely as the number of pumps (P), available at the station. In a station with 5 pumps, it took 10…
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2024
For what values of y is \(\frac{y + 2}{8y^2 - 10y + 3}\) not defined?
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2024
The fourth and eighth terms of an Arithmetic Progression are 16 and 40 respectively. Find the common difference.
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2024
Find the range of the following set of numbers: 28, 29, 39, 38, 33, 37, 26, 20, 15, and 25.
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2024
Which of the following points lies on the line 3x - 8y = 11?
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2024
The probability that Amaka will pass an examination is \(\frac{3}{7}\) and that Bala will pass is \(\frac{4}{9}\). Find the probability that both will pass the examination.
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2024
In the diagram \(\overline{TU}\) is a tangent to the circle SPQR at P. If \(\angle\)PTS = 44º, \(\angle\)SQP = 35º, find \(\angle\)PST
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2024
A cliff on the bank of a river 87 m high. A boat on the river is 22 m away from the cliff. Calculate, correct to the nearest degree, the angle of depression of the boat from the top of the cliff.
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