Daily Practice

Higher Plus

30th November 1971

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

1
Surds3 marks
Expand and simplify (5 + sqrt(3))(5 - sqrt(3)).
2
Proof2 marks
In an algebraic proof, how would you write an even number in terms of an integer n?
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 320. Work out y when x = 3.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 16 cm and 13 cm and an area of 52.00 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 1/7. Work out r.

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