Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

13th November 2005

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

1
Bounds3 marks
x = 196 and y = 104, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Inverse and Composite Functions3 marks
f(x) = 4x + 5 and g(x) = 2x - 5. Work out fg(2).
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 18. Work out y when x = 3.
4
The Cosine Rule3 marks
A triangle has sides 18 cm, 9 cm and 12 cm. Work out the angle opposite the 18 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 7/9. Work out n.

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