Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

31st January 2007

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

1
Bounds3 marks
A rectangle is 9 cm by 22 cm, each correct to the nearest cm. Work out the upper bound of its area.
2
Algebraic Fractions3 marks
Simplify (x^2 - x - 30)/(x + 5).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 36. Work out y when x = 64.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = q. N is the point dividing AB in the ratio 3 : 1. Write vector ON in terms of a and q.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/5. A player expects 18 wins. How many games did they play?

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