Daily Practice

Higher Plus

4th February 1988

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

1
Surds3 marks
Simplify sqrt(80) + sqrt(125), giving your answer in the form a sqrt(b).
2
Algebraic Fractions3 marks
Simplify (x^2 + 5x + 6)/(x + 3).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 10. Work out y when x = 49.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 8 cm and 11 cm and an area of 31.11 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 9 counters, r of them red. Two are taken without replacement and P(both red) = 1/6. Work out r.

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