Daily Practice

Higher Plus

2nd August 1988

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

1
Surds3 marks
Expand and simplify (8 + sqrt(3))(8 - sqrt(3)).
2
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 7, 22, 47, 82. 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 = 36. Work out y when x = 6.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 8 cm and 16 cm and an area of 45.25 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 10 counters, r of them red. Two are taken without replacement and P(both red) = 2/9. Work out r.

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