Daily Practice

Higher Plus

9th October 1958

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

1
Surds3 marks
Simplify sqrt(75) + sqrt(12), giving your answer in the form a sqrt(b).
2
Algebraic Fractions3 marks
Simplify (x^2 + 7x + 10)/(x + 2).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 256. Work out y when x = 2.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 14 cm and 9 cm and an area of 44.55 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 6 counters, r of them red. Two are taken without replacement and P(both red) = 2/5. Work out r.

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