Daily Practice

Higher Plus

28th October 1960

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

1
Surds3 marks
Rationalise the denominator of 25/sqrt(5), giving your answer in its simplest form.
2
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 100 and y = x + 2 simultaneously.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 18. Work out y when x = 64.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 12 cm and 16 cm and an area of 48.00 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) = 1/66. Work out r.

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