Daily Practice

Higher Plus

19th May 1991

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

1
Bounds3 marks
x = 181 and y = 118, 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, 4, 13, 26. 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 = 49, y = 63. Work out y when x = 25.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 12 cm and 7 cm and an area of 36.37 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 11 counters, r of them red. Two are taken without replacement and P(both red) = 36/55. Work out r.

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