Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

14th December 1998

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

1
Bounds3 marks
A block has mass 620 g (to the nearest 10 g) and volume 7 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
2
Completing the Square3 marks
Write x^2 + 16x + 8 in the form (x + a)^2 + b.
3
Velocity Time Graphs2 marks
A train slows steadily from 28 m/s to rest in 5 seconds. Work out its deceleration.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = b. P is the point dividing AB in the ratio 1 : 3. Write vector OP in terms of q and b.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/10. A player expects 14 wins. How many games did they play?

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