Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

10th September 2019

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 - 5b and vector RS = 15a - 25b. What does this show about PQ and RS?
2
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 24 wins. How many games did they play?
3
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 1.2, one 10 units wide with density 1.4. How many values in total?
4
Surds3 marks
Expand and simplify (7 + sqrt(11))(7 - sqrt(11)).
5
Inverse and Composite Functions3 marks
f(x) = 2x - 2 and g(x) = 6x + 8. Work out fg(-1).

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