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If (9^{2x – 1} = frac{81^{x – 2}}{3^{x}}), find x. (b) Without using Mathematical…

(a) If (9^{2x – 1} = frac{81^{x – 2}}{3^{x}}), find x. (b) Without using Mathematical Tables, evaluate: (sqrt{frac{0.81…
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Copy and complete the following table of values for (y = 3sin 2theta -…

(a) Copy and complete the following table of values for (y = 3sin 2theta – cos theta). (theta)…
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The table below shows the frequency distribution of the marks scored by fifty students in…

The table below shows the frequency distribution of the marks scored by fifty students in an examination. Marks…
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  In the diagram, BA is parallel to DE. Find the value of x. (b)…

(a)  In the diagram, BA is parallel to DE. Find the value of x. (b) Illustrate graphically and…
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Prove that the angle which an arc of a circle subtends at the centre…

(a) Prove that the angle which an arc of a circle subtends at the centre is twice that…
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What is the 25th term of 5, 9, 13,… ? (b) Find the 5th…

(a) What is the 25th term of 5, 9, 13,… ? (b) Find the 5th term of (frac{8}{9},…
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A box contains identical balls of which 12 are red, 16 white and 8 blue….

A box contains identical balls of which 12 are red, 16 white and 8 blue. Three balls are…
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(i) Given that (log_{10} 5 = 0.699) and (log_{10} 3 = 0.477), find (log_{10} 45),…

(a)(i) Given that (log_{10} 5 = 0.699) and (log_{10} 3 = 0.477), find (log_{10} 45), without using Mathematical…
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A simple measuring device is used at points X and Y on the same horizontal…

A simple measuring device is used at points X and Y on the same horizontal level to measure…
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Simplify (frac{3}{m + 2n} – frac{2}{m – 3n}) (b) A number is made up…

(a) Simplify (frac{3}{m + 2n} – frac{2}{m – 3n}) (b) A number is made up of two digits.…
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