Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

11th December 2023

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

1
Velocity Time Graphs2 marks
A train slows steadily from 13 m/s to rest in 10 seconds. Work out its deceleration.
2
The Cosine Rule3 marks
A triangle has sides of 9 cm and 16 cm with an angle of 123° between them. Work out the third side, to 1 decimal place.
3
Conditional Probability3 marks
A bag holds 3 red, 7 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
4
Histograms3 marks
On a histogram the bar for 50 < x <= 55 has a frequency density of 0.4. How many values are in that class?
5
Bounds3 marks
A block has mass 490 g (to the nearest 10 g) and volume 10 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

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