Daily Practice

Higher Plus

21st June 1979

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

1
Surds3 marks
Simplify sqrt(72) + sqrt(2), giving your answer in the form a sqrt(b).
2
Rearranging Harder Formulae3 marks
Make x the subject of 2x + 4 = y(x + 4).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 135. Work out y when x = 2.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 13 cm and 7 cm and an area of 32.17 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 9 counters, r of them red. Two are taken without replacement and P(both red) = 1/36. Work out r.

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