Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

21st July 2003

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

1
Bounds3 marks
A block has mass 450 g (to the nearest 10 g) and volume 8 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
2
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 25 and y = x - 1 simultaneously.
3
Velocity Time Graphs2 marks
A train slows steadily from 13 m/s to rest in 10 seconds. Work out its deceleration.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = m. M is the point dividing AB in the ratio 1 : 2. Write vector OM in terms of a and m.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/4. A player expects 14 wins. How many games did they play?

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