Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

29th March 2003

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

1
Bounds3 marks
A car covers 370 m (to the nearest 10 m) in 5 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
2
Factorising Harder Quadratics3 marks
Solve 15x^2 - 2x - 1 = 0.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 36. Work out y when x = 6.
4
The Cosine Rule3 marks
A triangle has sides 18 cm, 11 cm and 13 cm. Work out the angle opposite the 18 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 1/2. Work out n.

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