2021
(a) A girl threw a stone horizontally with a velocity of 30m/s from the top of a cliff 50m high. How far from the foot of the cliff does the stone strike the ground? [Take g = 10m/s\(^2\)](b) A body A, of mass 2kg is hel…
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2021 WAEC SSCE Further Mathematics Past Questions
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2021
The position vectors of P, Q and R with respect to the origin are (4i-5j), (i+3j) and (-5i+2j) respectively. If PQRM is a parallelogram, find:(a) the coordinates of M;(b) the acute angle between \(\overline{PM}\) and \(\…
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2021
The table shows the frequency distribution of heights (in cm) of pupils in a certain school.Heights100-109110-119120-129130-139140-149150-159160-169Frequency275813010550255(a) (i) Construct a cumulative frequency table.…
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2021
A box contains 5 red, 7 blue and 4 green identical bulbs. Two bulbs are picked at random from the box without replacement.Calculate the probability of picking: (a) same color of bulbs; (b) different color of bulbs (c) at…
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2021
(a) Find the equation of the normal to the curve y = (x\(^2\) - x + 1)(x - 2) at the point where the curve cuts the X - axis.(b) The coordinates of the pints P, Q and R are (-1, 2), (5, 1) and (3, -4) respectively. Find…
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2021
P and Q are two linear transformations in the X-Y plane defined byP: (x, y) (-3x + 6y, 4x + y) andQ: (x, y) (2x-3y, -4x - 6y).(a) Write down the matrices of P and Q. (b) What is the image of (-2,-3) under the transformat…
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2021
(a) A jogger is training for 15km charity race. He starts with a run of 500 metres, then he increases the distance he runs daily by 250 metres.(i) How many days will it take the jogger to reach a distance of 15km in trai…
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2021
Given that x = \(\begin{pmatrix} -4 \\ 3 \end{pmatrix}\) and y= \(\begin{pmatrix} -9 \\ 15 \end{pmatrix}\) calculate, correct to the nearest degree, the angle between the vectors
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2021
(a) The speed of a moving bus reduced from 45m/s to 5m/s with a uniform retardation of 10m/s\(^2\). Calculate the distance covered.(b) A bucket full of water with mass 16kg is pulled out of a well with a light inextensib…
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2021
A bag contains 24 mangoes out of which six are bad. If 6 mangoes are selected randomly from the bag with replacement, find the probability that not more than 3 are bad.
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2021
The table shows the distribution of monthly income (in thousands of naira) of workers in a factoryMonthly Income (N'1000)135-139140-149150-154155-164165-169Number of workers2042283822(a) Draw a histogram for the distribu…
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2021
\(^{5y}{C}_2\) = 190, find the value of y
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2021
Given that (p + 1/2√3)(1 - √3)\(^2\) = 3- √3, find the value of p.
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2021
Evaluate: \(^9{∫}_1\) \(\frac{x(2x-3)}{√x}\) dx
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2021
The polynomial f(x) =2x\(^3\) + px+ qx - 5 has (x-1) as a factor and a remainder of 27 when divided by (x + 2), where p and q are constants. Find the values of p and q.
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2021
The table shows the distribution of marks obtained by some students in a testMarks0-910-1920-2930-3940-49Frequency4121662Find the modal class mark.
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2021
The table shows the distribution of marks obtained by some students in a testMarks0-910-1920-2930-3940-49Frequency4121662What is the upper class boundary of the upper quartile class?
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2021
If \(\frac{15 - 2x}{(x+4)(x-3)}\) = \(\frac{R}{(x+4)}\)\(\frac{9}{7(x-3)}\), find the value of R
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2021
Given that f: x --> x\(^2\) - x + 1 is defined on theSet Q = { x : 0≤ x < 20, x is a multiple of 5}. find the set of range of F.
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2021
Find the radius of the circle 2x\(^2\) - 4x + 2y\(^2\) - 6y -2 = 0.
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