Daily Practice

Higher Plus

29th March 1963

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

1
Surds3 marks
Rationalise the denominator of 40/sqrt(5), giving your answer in its simplest form.
2
Algebraic Fractions3 marks
Simplify (x^2 + 2x - 15)/(x - 3).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 108. Work out y when x = 4.
4
The Cosine Rule3 marks
A triangle has sides 5 cm, 10 cm and 7 cm. Work out the angle opposite the 5 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 7/10. Work out n.

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