Daily Practice

Higher Plus

6th August 1961

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

1
Bounds3 marks
x = 189 and y = 74, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Rearranging Harder Formulae3 marks
Make x the subject of 3x + 7 = y(x + 7).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 128. Work out y when x = 5.
4
The Cosine Rule3 marks
A triangle has sides 15 cm, 14 cm and 16 cm. Work out the angle opposite the 15 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 5/8. Work out n.

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