Daily Practice

Higher Plus

7th January 1981

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 = 9, y = 18. Work out y when x = 36.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = c. N is the point dividing AB in the ratio 3 : 1. Write vector ON in terms of p and c.
3
Probability Equation Questions3 marks
The probability of winning a game is 9/10. A player expects 81 wins. How many games did they play?
4
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 1, 2, 0.5, 3. Which class contains the median?
5
Bounds3 marks
A rectangle is 17 cm by 9 cm, each correct to the nearest cm. Work out the upper bound of its area.

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