Daily Practice

Higher Plus

15th July 1988

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

1
Surds3 marks
Rationalise the denominator of 15/sqrt(5), giving your answer in its simplest form.
2
Proof3 marks
Prove that the sum of 5 consecutive integers is always a multiple of 5. State the simplified sum you would use.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 384. Work out y when x = 5.
4
The Cosine Rule3 marks
A triangle has sides 6 cm, 12 cm and 16 cm. Work out the angle opposite the 6 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 3/4. Work out n.

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