Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

14th June 2023

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

1
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 192. Work out y when x = 2.
2
The Cosine Rule3 marks
A triangle has sides of 7 cm and 12 cm with an angle of 126° between them. Work out the third side, to 1 decimal place.
3
Conditional Probability3 marks
A bag holds 7 red, 4 blue and 5 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 60 < x <= 65 has a frequency density of 0.4. How many values are in that class?
5
Bounds3 marks
A rectangle is 17 cm by 26 cm, each correct to the nearest cm. Work out the upper bound of its area.

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