Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

12th April 2002

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 = a - 6b and vector RS = 2a - 12b. What does this show about PQ and RS?
2
Probability Equation Questions3 marks
The probability of winning a game is 2/5. A player expects 16 wins. How many games did they play?
3
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 2, one 20 units wide with density 1.4. How many values in total?
4
Surds3 marks
Rationalise the denominator of 50/sqrt(5), giving your answer in its simplest form.
5
Inverse and Composite Functions3 marks
f(x) = 7x + 6. Work out the inverse function f^-1(x).

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