Daily Practice

Higher Plus

22nd May 1979

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

1
Surds3 marks
Expand and simplify (5 + sqrt(2))(5 - sqrt(2)).
2
Quadratic Inequalities3 marks
Solve x^2 + 6x + 8 < 0.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 72. Work out y when x = 6.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 7 cm and 12 cm and an area of 42.00 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) = 14/33. Work out r.

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