Daily Practice

Higher Plus

17th January 1980

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

1
Surds3 marks
Simplify sqrt(12) + sqrt(27), giving your answer in the form a sqrt(b).
2
Algebraic Fractions3 marks
Write 5/(x - 6) + 5/(x + 6) as a single fraction.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 25. Work out y when x = 5.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 12 cm and 12 cm and an area of 62.35 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 6/11. Work out r.

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