Daily Practice

Higher Plus

15th November 1968

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

1
Surds3 marks
Rationalise the denominator of 24/sqrt(2), giving your answer in its simplest form.
2
Algebraic Fractions3 marks
Write 2/(x - 2) + 6/(x - 4) as a single fraction.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 16. Work out y when x = 4.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 8 cm and 13 cm and an area of 26.00 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 3/10. Work out r.

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