Daily Practice

Higher Plus

30th December 1956

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

1
Bounds3 marks
x = 197 and y = 70, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Inverse and Composite Functions3 marks
f(x) = 3x + 6 and g(x) = 6x + 7. Work out fg(2).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 32. Work out y when x = 5.
4
The Cosine Rule3 marks
A triangle has sides 12 cm, 9 cm and 11 cm. Work out the angle opposite the 12 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 4/7. Work out n.

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