Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

11th June 2014

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

1
Bounds3 marks
A rectangle is 16 cm by 5 cm, each correct to the nearest cm. Work out the upper bound of its area.
2
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 676 and y = x + 14 simultaneously.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 42. Work out y when x = 4.
4
The Cosine Rule3 marks
A triangle has sides of 10 cm and 13 cm with an angle of 101° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 7 red, 6 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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