Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

26th October 1997

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

1
Bounds3 marks
x = 171 and y = 28, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Quadratic Inequalities3 marks
Solve x^2 - 5x + 6 > 0.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 32. Work out y when x = 81.
4
The Cosine Rule3 marks
A triangle has sides 11 cm, 6 cm and 12 cm. Work out the angle opposite the 11 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 2 red and n blue counters. The probability of taking a red is 2/5. Work out n.

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