Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

11th August 2000

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

1
Surds3 marks
Rationalise the denominator of 18/sqrt(3), giving your answer in its simplest form.
2
Quadratic Inequalities3 marks
Solve x^2 - 9x + 8 < 0.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 144. Work out y when x = 6.
4
The Cosine Rule3 marks
A triangle has sides 19 cm, 11 cm and 11 cm. Work out the angle opposite the 19 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 3 red and n blue counters. The probability of taking a red is 3/5. Work out n.

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