Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

3rd March 2025

5 questions · 13 marks · Grades 8-9 · 51 question types in this band

1
Bounds3 marks
A block has mass 760 g (to the nearest 10 g) and volume 15 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
2
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 3, 19, 45, 81. Work out the second difference, and the coefficient of n^2.
3
Velocity Time Graphs2 marks
A train slows steadily from 23 m/s to rest in 8 seconds. Work out its deceleration.
4
The Cosine Rule3 marks
A triangle has sides 18 cm, 14 cm and 7 cm. Work out the angle opposite the 18 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 8 red and n blue counters. The probability of taking a red is 4/7. Work out n.

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