Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

13th April 2000

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

1
Surds3 marks
Simplify sqrt(20) + sqrt(20), giving your answer in the form a sqrt(b).
2
Inverse and Composite Functions3 marks
f(x) = 2x + 8 and g(x) = 6x + 7. Work out fg(-1).
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 8. Work out y when x = 2.
4
The Cosine Rule3 marks
A triangle has sides 9 cm, 11 cm and 16 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 6 red and n blue counters. The probability of taking a red is 3/5. Work out n.

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