Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

22nd September 2021

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 18. Work out y when x = 3.
2
The Cosine Rule3 marks
A triangle has sides of 17 cm and 9 cm with an angle of 30° between them. Work out the third side, to 1 decimal place.
3
Conditional Probability3 marks
A bag holds 5 red, 3 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
4
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 3, 0.5, 1, 2. Which class contains the median?
5
Bounds3 marks
A rectangle is 28 cm by 15 cm, each correct to the nearest cm. Work out the upper bound of its area.

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