Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

16th December 2022

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

1
Velocity Time Graphs2 marks
A train slows steadily from 14 m/s to rest in 4 seconds. Work out its deceleration.
2
The Cosine Rule3 marks
A triangle has sides of 11 cm and 9 cm with an angle of 48° between them. Work out the third side, to 1 decimal place.
3
Conditional Probability3 marks
A bag holds 6 red, 5 blue and 6 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 <= 70 has a frequency density of 0.4. How many values are in that class?
5
Surds3 marks
Rationalise the denominator of 110/sqrt(11), giving your answer in its simplest form.

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