Kenya KCSE · Mathematics
Variation, calculus and further algebra
10 practice questions, each with the answer and an explanation.
Practise Variation, calculus and further algebra now
Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.
All 10 questions
- y varies directly as the square of x. When x = 3, y = 18. Find y when x = 5.
- p varies inversely as q. When q = 4, p = 15. Find p when q = 10.
- Differentiate y = 3x^4 - 5x^2 + 7 with respect to x.
- Find the gradient of the curve y = x^3 - 4x at the point where x = 2.
- Evaluate the definite integral of 2x from x = 1 to x = 4.
- The curve y = x^2 - 6x + 5 has a turning point. What are its coordinates?
- The area of a rectangular plot is 84 m2 and its length is 5 m more than its width. What is the width?
- Expand and simplify (2x - 3)^2.
- Find the coefficient of x^2 in the expansion of (1 + 2x)^5.
- Solve the quadratic equation 2x^2 - 7x + 3 = 0.
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