Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

16th August 2022

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

1
Surds3 marks
Expand and simplify (3 + sqrt(7))(3 - sqrt(7)).
2
Inverse and Composite Functions3 marks
f(x) = 2x + 9 and g(x) = 2x + 1. Work out fg(5).
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 144. Work out y when x = 6.
4
The Cosine Rule3 marks
A triangle has sides 14 cm, 7 cm and 12 cm. Work out the angle opposite the 14 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 5 red and n blue counters. The probability of taking a red is 5/8. Work out n.

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