Daily Practice

Higher Plus

3rd June 1956

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

1
Bounds3 marks
x = 140 and y = 69, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Proof3 marks
Prove that the sum of 6 consecutive integers is always a multiple of 3. 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 = 12. Work out y when x = 81.
4
The Cosine Rule3 marks
A triangle has sides 11 cm, 15 cm and 10 cm. Work out the angle opposite the 11 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 3 red and n blue counters. The probability of taking a red is 3/7. Work out n.

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