Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

11th April 2025

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

1
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 5a - 5b and vector RS = 20a - 20b. What does this show about PQ and RS?
2
Probability Equation Questions3 marks
The probability of winning a game is 1/10. A player expects 4 wins. How many games did they play?
3
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2.5, one 5 units wide with density 3.5. How many values in total?
4
Surds3 marks
Rationalise the denominator of 72/sqrt(6), giving your answer in its simplest form.
5
Inverse and Composite Functions3 marks
f(x) = 5x - 9 and g(x) = 6x - 3. Work out fg(1).

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