Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

11th March 2020

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

1
Bounds3 marks
A rectangle is 28 cm by 24 cm, each correct to the nearest cm. Work out the upper bound of its area.
2
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 12x - 14.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 72. Work out y when x = 6.
4
The Cosine Rule3 marks
A triangle has sides of 17 cm and 16 cm with an angle of 126° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 7 red, 5 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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