Daily Practice

Higher Plus

16th February 1988

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

1
Surds3 marks
Expand and simplify (8 + sqrt(11))(8 - sqrt(11)).
2
Rearranging Harder Formulae3 marks
Make x the subject of 4x + 6 = y(x + 6).
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 36. Work out y when x = 3.
4
The Cosine Rule3 marks
A triangle has sides 14 cm, 13 cm and 6 cm. Work out the angle opposite the 14 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 5/12. Work out n.

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