Daily Practice

Higher Plus

17th November 1967

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 = 25, y = 20. Work out y when x = 81.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = m and vector OB = a. N is the point dividing AB in the ratio 1 : 2. Write vector ON in terms of m and a.
3
Probability Equation Questions3 marks
The probability of winning a game is 7/8. A player expects 84 wins. How many games did they play?
4
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 3, 0.5, 2, 1. Which class contains the median?
5
Surds3 marks
Rationalise the denominator of 18/sqrt(2), giving your answer in its simplest form.

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