Daily Practice · Higher Plus

Daily Practice - Higher Plus

1st June 1993

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Surds3 marks
Expand and simplify (4 + sqrt(10))(4 - sqrt(10)).
2
Proof2 marks
In an algebraic proof, how would you write two consecutive odd numbers in terms of an integer n?
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 28. Work out y when x = 64.
4
The Cosine Rule3 marks
A triangle has sides of 10 cm and 7 cm with an angle of 131° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 3 red, 5 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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