Daily Practice

Higher Plus

31st March 1988

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 = 4, y = 6. Work out y when x = 36.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = b. M is the point dividing AB in the ratio 2 : 1. Write vector OM in terms of p and b.
3
Probability Equation Questions3 marks
The probability of winning a game is 4/5. A player expects 16 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
Simplify sqrt(45) + sqrt(245), giving your answer in the form a sqrt(b).

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