Daily Practice

Higher Plus

16th May 1963

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Surds3 marks
Simplify sqrt(75) + sqrt(75), giving your answer in the form a sqrt(b).
2
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 3, 12, 29, 54, ...
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 40. Work out y when x = 3.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 10 cm and 14 cm and an area of 49.50 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) = 28/55. Work out r.

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