Daily Practice

Higher Plus

10th March 1970

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

1
Surds3 marks
Expand and simplify (4 + sqrt(6))(4 - sqrt(6)).
2
Completing the Square3 marks
Write x^2 - 12x + 10 in the form (x + a)^2 + b.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 50. Work out y when x = 5.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 10 cm and 6 cm and an area of 15.00 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 1/10. Work out r.

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