Daily Practice

Higher Plus

27th July 1980

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

1
Bounds3 marks
x = 200 and y = 49, 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 the product of two consecutive integers in terms of an integer n?
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 12. Work out y when x = 2.
4
The Cosine Rule3 marks
A triangle has sides 4 cm, 10 cm and 10 cm. Work out the angle opposite the 4 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 2/3. Work out n.

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