Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

5th August 2021

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 108. Work out y when x = 6.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = m and vector OB = c. M is the point dividing AB in the ratio 1 : 2. Write vector OM in terms of m and c.
3
Probability Equation Questions3 marks
The probability of winning a game is 1/10. A player expects 13 wins. How many games did they play?
4
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 1, 3, 2, 0.5. Which class contains the median?
5
Surds3 marks
Simplify sqrt(20) + sqrt(5), giving your answer in the form a sqrt(b).

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