Daily Practice

Higher Plus

4th October 1967

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

1
Bounds3 marks
A rectangle is 9 cm by 8 cm, each correct to the nearest cm. Work out the upper bound of its area.
2
Algebraic Fractions3 marks
Write 2/(x + 6) + 4/(x + 7) as a single fraction.
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 12 cm, 8 cm and 13 cm. Work out the angle opposite the 12 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 7 red and n blue counters. The probability of taking a red is 7/15. Work out n.

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