Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

18th November 2020

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

1
Bounds3 marks
A rectangle is 7 cm by 4 cm, each correct to the nearest cm. Work out the upper bound of its area.
2
Iteration3 marks
Use the iteration x(n+1) = cube root of (12x(n) + 8) with x(0) = 5. Work out x(1) to 3 decimal places.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 14. Work out y when x = 36.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = c. X is the point dividing AB in the ratio 3 : 1. Write vector OX in terms of a and c.
5
Probability Equation Questions3 marks
The probability of winning a game is 5/8. A player expects 10 wins. How many games did they play?

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