Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

30th September 1998

5 questions · 14 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 + b and vector RS = 8a + 2b. What does this show about PQ and RS?
2
Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 33 wins. How many games did they play?
3
Histograms2 marks
On a histogram, a 10-wide bar and a 20-wide bar have the same frequency density of 2. How many more values are in the wider class?
4
Bounds3 marks
A rectangle is 5 cm by 9 cm, each correct to the nearest cm. Work out the upper bound of its area.
5
Inverse and Composite Functions3 marks
f(x) = 6x + 5 and g(x) = 3x - 5. Work out fg(5).

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