Daily Practice

Higher Plus

4th March 1962

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

1
Bounds3 marks
x = 172 and y = 65, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Algebraic Fractions3 marks
Write 3/(x + 2) + 3/(x + 3) as a single fraction.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 32. Work out y when x = 4.
4
The Cosine Rule3 marks
A triangle has sides 7 cm, 6 cm and 8 cm. Work out the angle opposite the 7 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 5/7. Work out n.

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