Daily Practice

Higher Plus

11th September 1977

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

1
Bounds3 marks
x = 75 and y = 28, 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 12, 19, 30, 45. Work out the second difference, and the coefficient of n^2.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 48. Work out y when x = 3.
4
The Cosine Rule3 marks
A triangle has sides 12 cm, 8 cm and 7 cm. Work out the angle opposite the 12 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 1/3. Work out n.

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