Daily Practice

Higher Plus

3rd December 1967

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

1
Bounds3 marks
x = 84 and y = 5, 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 7, 23, 47, 79. Work out the second difference, and the coefficient of n^2.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 12. Work out y when x = 36.
4
The Cosine Rule3 marks
A triangle has sides 9 cm, 8 cm and 9 cm. Work out the angle opposite the 9 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 5/7. Work out n.

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