Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

23rd September 2005

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 + 3b and vector RS = 8a + 6b. What does this show about PQ and RS?
2
Probability Equation Questions3 marks
The probability of winning a game is 7/10. A player expects 63 wins. How many games did they play?
3
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 1.2, one 10 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) = 5x + 3 and g(x) = 3x + 8. Work out fg(4).

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