Daily Practice

Higher Plus

1st September 1988

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

1
Surds3 marks
Simplify sqrt(18) + sqrt(72), giving your answer in the form a sqrt(b).
2
Proof2 marks
In an algebraic proof, how would you write the square of an odd number in terms of an integer n?
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 81. Work out y when x = 4.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 9 cm and 7 cm and an area of 27.28 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 6 counters, r of them red. Two are taken without replacement and P(both red) = 1/15. Work out r.

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