Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

29th October 2021

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 = 3a - 3b and vector RS = 9a - 9b. What does this show about PQ and RS?
2
Probability Equation Questions3 marks
The probability of winning a game is 9/10. A player expects 90 wins. How many games did they play?
3
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 1.2, one 20 units wide with density 0.6. How many values in total?
4
Surds3 marks
Rationalise the denominator of 56/sqrt(7), giving your answer in its simplest form.
5
Inverse and Composite Functions3 marks
f(x) = 5x - 3. Work out the inverse function f^-1(x).

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