Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

5th August 2015

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

1
Bounds3 marks
A rectangle is 14 cm by 12 cm, each correct to the nearest cm. Work out the upper bound of its area.
2
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 0, 2, 6, 12, ...
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 4. Work out y when x = 2.
4
The Cosine Rule3 marks
A triangle has sides of 11 cm and 17 cm with an angle of 89° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 5 red, 5 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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