Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

16th January 2025

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 = 36, y = 24. Work out y when x = 9.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = p. P is the point dividing AB in the ratio 1 : 2. Write vector OP in terms of b and p.
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, 2, 1, 0.5. Which class contains the median?
5
Surds3 marks
Simplify sqrt(75) + sqrt(147), giving your answer in the form a sqrt(b).

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