Daily Practice

Higher Plus

6th December 1955

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

1
Surds3 marks
Expand and simplify (5 + sqrt(2))(5 - sqrt(2)).
2
Quadratic Inequalities3 marks
Solve x^2 + 8x + 15 > 0.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 72. Work out y when x = 6.
4
The Cosine Rule3 marks
A triangle has sides 14 cm, 15 cm and 15 cm. Work out the angle opposite the 14 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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