Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

17th December 2024

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 x^3. When x = 4, y = 128. Work out y when x = 2.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = c. X is the point dividing AB in the ratio 2 : 1. Write vector OX in terms of q and c.
3
Probability Equation Questions3 marks
The probability of winning a game is 2/5. A player expects 4 wins. How many games did they play?
4
Histograms3 marks
On a histogram the bar for 60 < x <= 70 has a frequency density of 2.4. How many values are in that class?
5
Surds3 marks
Expand and simplify (9 + sqrt(10))(9 - sqrt(10)).

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