Daily Practice

Higher Plus

14th March 1975

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

1
Surds3 marks
Rationalise the denominator of 28/sqrt(7), giving your answer in its simplest form.
2
Quadratic Inequalities3 marks
Solve x^2 - 6x - 7 > 0.
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 10 cm and 11 cm and an area of 55.00 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) = 15/28. Work out r.

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