Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

29th March 2016

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 + 4b and vector RS = 16a + 16b. 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 8 wins. How many games did they play?
3
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2, one 10 units wide with density 3.5. How many values in total?
4
Surds3 marks
Expand and simplify (5 + sqrt(2))(5 - sqrt(2)).
5
Inverse and Composite Functions3 marks
f(x) = 2x + 12. Work out the inverse function f^-1(x).

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