Daily Practice

Higher Plus

2nd February 1954

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

1
Surds3 marks
Expand and simplify (6 + sqrt(11))(6 - sqrt(11)).
2
Factorising Harder Quadratics3 marks
Solve 9x^2 - 15x + 4 = 0.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 9. Work out y when x = 3.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 10 cm and 10 cm and an area of 25.00 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) = 5/12. Work out r.

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