Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

22nd February 2000

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 = 4a - 5b and vector RS = 12a - 15b. What does this show about PQ and RS?
2
Probability Equation Questions3 marks
The probability of winning a game is 4/5. A player expects 80 wins. How many games did they play?
3
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 0.4, one 5 units wide with density 0.8. How many values in total?
4
Surds3 marks
Expand and simplify (7 + sqrt(2))(7 - sqrt(2)).
5
Inverse and Composite Functions3 marks
f(x) = 2x + 6 and g(x) = 4x + 9. Work out fg(1).

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