Daily Practice

Higher Plus

5th February 1990

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

1
Bounds3 marks
A block has mass 520 g (to the nearest 10 g) and volume 14 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
2
Algebraic Fractions3 marks
Write 4/(x + 5) + 5/(x + 1) as a single fraction.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 72. Work out y when x = 6.
4
The Cosine Rule3 marks
A triangle has sides 19 cm, 11 cm and 12 cm. Work out the angle opposite the 19 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 5/12. Work out n.

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