Daily Practice

Higher Plus

27th June 1972

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

1
Surds3 marks
Expand and simplify (8 + sqrt(2))(8 - sqrt(2)).
2
Rearranging Harder Formulae3 marks
Make x the subject of 3x + 7 = y(x + 7).
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 50. Work out y when x = 5.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 13 cm and 15 cm and an area of 68.94 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 3/14. Work out r.

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