Daily Practice · Higher Plus

Daily Practice - Higher Plus

7th May 1992

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

1
Surds3 marks
Simplify sqrt(75) + sqrt(147), giving your answer in the form a sqrt(b).
2
Factorising Harder Quadratics3 marks
Solve 12x^2 - 17x + 6 = 0.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 320. Work out y when x = 2.
4
The Cosine Rule3 marks
A triangle has sides of 10 cm and 14 cm with an angle of 131° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 5 red, 6 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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