Daily Practice · Higher Plus

Daily Practice - Higher Plus

27th May 1994

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

1
Surds3 marks
Rationalise the denominator of 14/sqrt(7), giving your answer in its simplest form.
2
Proof3 marks
Prove that the sum of 4 consecutive integers is always a multiple of 2. State the simplified sum you would use.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 54. Work out y when x = 16.
4
The Cosine Rule3 marks
A triangle has sides of 13 cm and 11 cm with an angle of 65° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 7 red, 7 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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