Daily Practice

Higher Plus

8th January 1961

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

1
Bounds3 marks
x = 111 and y = 47, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Proof2 marks
In an algebraic proof, how would you write a number that leaves a remainder of 1 when divided by 8 in terms of an integer n?
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 32. Work out y when x = 49.
4
The Cosine Rule3 marks
A triangle has sides 11 cm, 14 cm and 6 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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