Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

3rd November 2000

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Surds3 marks
Rationalise the denominator of 20/sqrt(5), giving your answer in its simplest form.
2
Inverse and Composite Functions3 marks
f(x) = 3x + 7 and g(x) = 4x - 7. Work out fg(0).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 9. Work out y when x = 36.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = c. N is the point dividing AB in the ratio 3 : 1. Write vector ON in terms of a and c.
5
Probability Equation Questions3 marks
The probability of winning a game is 2/5. A player expects 8 wins. How many games did they play?

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