Daily Practice

Higher Plus

13th August 1954

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

1
Surds3 marks
Rationalise the denominator of 49/sqrt(7), giving your answer in its simplest form.
2
Rearranging Harder Formulae3 marks
Make x the subject of 6x + 6 = y(x + 6).
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 144. Work out y when x = 6.
4
The Cosine Rule3 marks
A triangle has sides 5 cm, 8 cm and 10 cm. Work out the angle opposite the 5 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 3 red and n blue counters. The probability of taking a red is 3/8. Work out n.

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