Daily Practice

Higher Plus

25th April 1975

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

1
Surds3 marks
Rationalise the denominator of 35/sqrt(7), giving your answer in its simplest form.
2
Factorising Harder Quadratics3 marks
Solve 8x^2 - 2x - 1 = 0.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 12. Work out y when x = 2.
4
The Cosine Rule3 marks
A triangle has sides 10 cm, 8 cm and 10 cm. Work out the angle opposite the 10 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 8 red and n blue counters. The probability of taking a red is 8/13. Work out n.

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