Daily Practice

Higher Plus

21st November 1967

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

1
Surds3 marks
Expand and simplify (4 + sqrt(3))(4 - sqrt(3)).
2
Inverse and Composite Functions3 marks
f(x) = 2x - 8 and g(x) = 5x + 2. Work out fg(0).
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 36. Work out y when x = 3.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 8 cm and 12 cm and an area of 41.57 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 3/10. Work out r.

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