Daily Practice

Higher Plus

20th September 1981

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

1
Bounds3 marks
x = 172 and y = 67, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Algebraic Fractions3 marks
Write 7/(x - 2) + 3/(x - 5) as a single fraction.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 54. Work out y when x = 9.
4
The Cosine Rule3 marks
A triangle has sides 13 cm, 13 cm and 7 cm. Work out the angle opposite the 13 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 8 red and n blue counters. The probability of taking a red is 2/3. Work out n.

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