Daily Practice

Higher Plus

18th April 1982

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

1
Bounds3 marks
x = 145 and y = 11, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Factorising Harder Quadratics3 marks
Solve 16x^2 - 24x + 5 = 0.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 48. Work out y when x = 5.
4
The Cosine Rule3 marks
A triangle has sides 21 cm, 14 cm and 12 cm. Work out the angle opposite the 21 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 5 red and n blue counters. The probability of taking a red is 5/13. Work out n.

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