Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

20th July 2025

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Inverse and Composite Functions3 marks
f(x) = 3x + 2. Work out the inverse function f^-1(x).
2
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 7 m/s to 22 m/s over 10 seconds. Work out the acceleration.
3
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 3a + 4b and vector RS = 12a + 16b. What does this show about PQ and RS?
4
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 36 wins. How many games did they play?
5
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 2.5, one 5 units wide with density 1.4. How many values in total?

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