Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

18th February 2015

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

1
Bounds3 marks
A rectangle is 4 cm by 17 cm, each correct to the nearest cm. Work out the upper bound of its area.
2
Quadratic Inequalities3 marks
Solve x^2 - 9x + 14 < 0.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 48. Work out y when x = 4.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = a. P is the midpoint. Write vector OP in terms of q and a.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/5. A player expects 30 wins. How many games did they play?

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