Daily Practice

Higher Plus

6th February 1959

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

1
Surds3 marks
Rationalise the denominator of 40/sqrt(5), giving your answer in its simplest form.
2
Algebraic Fractions3 marks
Write 6/(x + 4) + 2/(x - 3) as a single fraction.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 162. Work out y when x = 5.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 12 cm and 12 cm and an area of 72.00 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) = 5/14. Work out r.

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