Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Bounds3 marks
A block has mass 480 g (to the nearest 10 g) and volume 16 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 2The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts -2, -2, 0, 4. Work out the second difference, and the coefficient of n^2.
- 3Velocity Time Graphs2 marks
A train slows steadily from 24 m/s to rest in 10 seconds. Work out its deceleration.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = m and vector OB = a. P is the point dividing AB in the ratio 2 : 1. Write vector OP in terms of m and a.
- 5Probability Equation Questions3 marks
The probability of winning a game is 1/8. A player expects 5 wins. How many games did they play?
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