Daily Practice

Higher Plus

16th November 1990

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 = 16, y = 16. Work out y when x = 4.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = m. P is the point dividing AB in the ratio 1 : 2. Write vector OP in terms of q and m.
3
Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 6 wins. How many games did they play?
4
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 3, 0.5, 2, 1. Which class contains the median?
5
Surds3 marks
Rationalise the denominator of 30/sqrt(5), giving your answer in its simplest form.

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