Daily Practice

Higher Plus

21st June 1987

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

1
Bounds3 marks
x = 52 and y = 16, each correct to the nearest whole number. Work out the upper bound of x - y.
2
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 1, 9, 19, 31. Work out the second difference, and the coefficient of n^2.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 18. Work out y when x = 3.
4
The Cosine Rule3 marks
A triangle has sides 10 cm, 13 cm and 6 cm. Work out the angle opposite the 10 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 5 red and n blue counters. The probability of taking a red is 5/8. Work out n.

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