Daily Practice · Higher Plus

Daily Practice - Higher Plus

3rd December 1992

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

1
Surds3 marks
Simplify sqrt(50) + sqrt(98), giving your answer in the form a sqrt(b).
2
Inverse and Composite Functions3 marks
f(x) = 4x + 4. Work out the inverse function f^-1(x).
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 50. Work out y when x = 5.
4
The Cosine Rule3 marks
A triangle has sides of 13 cm and 12 cm with an angle of 104° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 4 red, 4 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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