Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

11th July 2022

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

1
Bounds3 marks
A block has mass 720 g (to the nearest 10 g) and volume 13 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
2
Inverse and Composite Functions3 marks
f(x) = 5x - 11. Work out the inverse function f^-1(x).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 36. Work out y when x = 49.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = a. M is the point dividing AB in the ratio 1 : 2. Write vector OM in terms of p and a.
5
Probability Equation Questions3 marks
The probability of winning a game is 7/8. A player expects 91 wins. How many games did they play?

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