Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

15th March 2017

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

1
Bounds3 marks
A rectangle is 18 cm by 21 cm, each correct to the nearest cm. Work out the upper bound of its area.
2
Factorising Harder Quadratics3 marks
Solve 2x^2 - x - 15 = 0.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 28. Work out y when x = 36.
4
The Cosine Rule3 marks
A triangle has sides 13 cm, 8 cm and 16 cm. Work out the angle opposite the 13 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 8 red and n blue counters. The probability of taking a red is 4/7. Work out n.

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