Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

7th November 2018

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 = 320. Work out y when x = 3.
2
The Cosine Rule3 marks
A triangle has sides of 11 cm and 5 cm with an angle of 131° between them. Work out the third side, to 1 decimal place.
3
Conditional Probability3 marks
A bag holds 3 red, 7 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 40 < x <= 45 has a frequency density of 1.2. How many values are in that class?
5
Bounds3 marks
A rectangle is 27 cm by 20 cm, each correct to the nearest cm. Work out the upper bound of its area.

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