Daily Practice

Higher Plus

20th August 1980

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Bounds3 marks
A rectangle is 24 cm by 19 cm, each correct to the nearest cm. Work out the upper bound of its area.
2
Inverse and Composite Functions3 marks
f(x) = 8x + 3. Work out the inverse function f^-1(x).
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 4. Work out y when x = 2.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = q. X is the point dividing AB in the ratio 1 : 3. Write vector OX in terms of b and q.
5
Probability Equation Questions3 marks
The probability of winning a game is 7/10. A player expects 49 wins. How many games did they play?

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