Daily Practice

Higher Plus

2nd December 1987

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

1
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 14. Work out y when x = 81.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = b. P is the point dividing AB in the ratio 1 : 3. Write vector OP in terms of p and b.
3
Probability Equation Questions3 marks
The probability of winning a game is 2/5. A player expects 24 wins. How many games did they play?
4
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 2, 0.5, 1, 3. Which class contains the median?
5
Bounds3 marks
A rectangle is 17 cm by 23 cm, each correct to the nearest cm. Work out the upper bound of its area.

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