Daily Practice

Higher Plus

1st March 1974

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

1
Surds3 marks
Rationalise the denominator of 84/sqrt(7), giving your answer in its simplest form.
2
Rearranging Harder Formulae3 marks
Make x the subject of 8x + 8 = y(x + 8).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 12. Work out y when x = 81.
4
The Cosine Rule3 marks
A triangle has sides 19 cm, 11 cm and 14 cm. Work out the angle opposite the 19 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 7 red and n blue counters. The probability of taking a red is 7/13. Work out n.

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