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**Question 1**
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What is the total surface area of a cylinder with radius 2cm and height 1.5cm, correct to 2 significant figures?

**Question 2**
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Three sets of rice x, y and z are sold for N15.00, N35.00 and N60.00 respectively per kg. It they are mixed in the ratio of 1: 3 : 2, what is the cast per kg of the mixture?

**Question 3**
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Two parallel chords of a circle are respectively 46cm and 40cm long. If the radius of the circle is 25cm and the centre of the circle lies between the two chords, what is the distance between the chords?

**Question 4**
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The mean and the range of the set of numbers: 1.20, 1.00, 0.90, 1.40, 0.80, 0.80, 1.20 and 1.10 are p and q respectively. What is the value of p ÷ q?

**Question 5**
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A cone was developed from a sector of a circle with radius10cm and an angle at the centre of 108°. What is the radius of the cone?

**Question 6**
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If sin 30° = 0.5, what is the cosine of its complement?

**Question 7**
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A girl on top of a storey building 36m high dropped a N10.00 note on the ground below. If the angle of depression of the N10.00 note is 35°, how far is the money from the girl?

**Question 8**
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An amount of money is shared among P,Q and R such that for every 3P gets, Q gets 2 and for every 1Q gets, R gets 4. Find P: Q : R

**Question 9**
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A boy leaves station X on a bearing of 035° to station y which is 21km away. He then travels to another station Z on a bearing of 125°. If Z is directly East of X, what is the distance from X to his present position?

**Question 10**
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Simplify 2a^{2} -4ab - 6a^{2} - 10ab + 5ab - 5a^{2}

**Question 11**
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A petrol attendant recorded the number of vehicles that bought petrol from him for -3 hours and recorded 12 cars and 27 buses. What is the probability that the next vehicle will be a bus?

**Question 12**
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Twice a number, x, is added to 5, the result is at least 11. What is the range of values of x?

**Question 13**
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A quadratic equation with roots -1\(\frac{1}{2}\) and \(\frac{1}{4}\) is

**Question 14**
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What is the volume of a cube if the diagonal of one of the sides is \(\sqrt{50}\)cm?

**Question 15**
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Given that the universal set U={14,15,16,17,18,19,20}, J ={16,19,20} and K= {14,15,18}, find (J' ∩ K')1.

**Question 16**
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What are the factors of 2x\(^2\) - xy - 3y\(^2\) ?

**Question 17**
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Evaluate 1.25 × 10\(^2\) × 0.125 × 10\(^3\) × 12.5 × 10\(^{-4}\) leaving your answer in standard form

**Question 18**
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One bag contains 4 white balls and 2 black balls. Another bag contains 3 white balls and 5 black balls, if one ball is drawn from each bag, what is the probability that both are white?

**Question 19**
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A wire was shaped to form a square of area 81cm\(^2\). An equilateral triangle was formed by the same wire,What is the length of a side of the triangle formed?

**Question 20**
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If sin θ = \(\frac{\sqrt{3}}{2}\) and 0 < θ < 180°, what is cos θ ?

**Question 21**
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If , sT = \(\sqrt{\frac{[(a + T)T]}{a}}\) what does T equal?

**Question 22**
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Solve the equation: \(\frac{1}{3}x\) + \(\frac{2}{5}\) = \(\frac{3}{4}x\) - \(\frac{1}{6}\)

**Question 23**
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What must be added to 3x^{2} - 5x to make it a perfect square?

**Question 24**
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What is the total surface area of a cuboid whose dimensions are 12cm × 8cm × 3cm?

**Question 25**
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After what length of time will N2400.00 yield an interest of N60.00 at 1\(\frac{1}{2}\)% per annum?

**Question 26**
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The length, breadth and height of a cuboid are 8cm, 7\(\frac{1}{2}\)cm and 6\(\frac{1}{2}\) cm respectively. What Is its volume in m^{3} (leave your answer in standard form)?

**Question 27**
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The probability that a student will pass a mathematics test is ⅗. If 3 students are chosen at random, what is the probability that at least 2 of them will pass the test?

**Question 28**
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The angle of elevation of the top (T) of a palm tree from a point (R) on the ground is 30°. The distance from R to the base (B) of the palm tree is 120m. What is the distance between T and R?

**Question 29**
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Simplify [1 ÷ (x + 1)] - [2 ÷ (x - 1)] + [3 ÷ (x^{2} - 1)]

**Question 30**
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When a shirt is sold for N12000.00, a loss of 20% is recorded. How much should it be sold for to gain 20%?

**Question 31**
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If \(\frac{t}{1}\) = \(\sqrt{(\frac{4\pi^2}{g}})\), what is the value of g when I = 4.5; t = 5 secs

**Question 32**
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The mean heights of 3 groups of students consisting of 20, 16 and 14 students are 1.67m, 1.50m and 1.40m Respectively. What is the mean height of all the students?

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