Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

28th March 2023

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 = 3, y = 144. Work out y when x = 6.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = m and vector OB = p. P is the point dividing AB in the ratio 1 : 2. Write vector OP in terms of m and p.
3
Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 36 wins. How many games did they play?
4
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 1, 2, 0.5, 3. Which class contains the median?
5
Surds3 marks
Expand and simplify (5 + sqrt(11))(5 - sqrt(11)).

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