Daily Practice

Higher Plus

18th November 1987

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

1
Bounds3 marks
A rectangle is 25 cm by 27 cm, each correct to the nearest cm. Work out the upper bound of its area.
2
Factorising Harder Quadratics3 marks
Solve 3x^2 + 13x + 12 = 0.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 128. Work out y when x = 5.
4
The Cosine Rule3 marks
A triangle has sides 10 cm, 14 cm and 13 cm. Work out the angle opposite the 10 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 2 red and n blue counters. The probability of taking a red is 1/5. Work out n.

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