Daily Practice · Higher Plus

Daily Practice - Higher Plus

9th March 1993

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

1
Surds3 marks
Expand and simplify (2 + sqrt(6))(2 - sqrt(6)).
2
Factorising Harder Quadratics3 marks
Solve 9x^2 - 4 = 0.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 75. Work out y when x = 5.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 14 cm and 15 cm and an area of 52.50 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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