Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

29th September 2001

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

1
Bounds3 marks
A car covers 380 m (to the nearest 10 m) in 8 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
2
Completing the Square3 marks
Write x^2 + 6x + 7 in the form (x + a)^2 + b.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 81. Work out y when x = 4.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = p. P is the point dividing AB in the ratio 2 : 1. Write vector OP in terms of a and p.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 42 wins. How many games did they play?

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