Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

2nd April 2001

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Bounds3 marks
A block has mass 290 g (to the nearest 10 g) and volume 3 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
2
Rearranging Harder Formulae3 marks
Make x the subject of 6x + 3 = y(x + 3).
3
Velocity Time Graphs2 marks
A train slows steadily from 30 m/s to rest in 5 seconds. Work out its deceleration.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = p. X is the point dividing AB in the ratio 3 : 1. Write vector OX in terms of b and p.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/10. A player expects 21 wins. How many games did they play?

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