Daily Practice · Higher Plus

Daily Practice - Higher Plus

29th November 1994

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

1
Surds3 marks
Expand and simplify (2 + sqrt(7))(2 - sqrt(7)).
2
Iteration3 marks
Use the iteration x(n+1) = cube root of (8x(n) + 2) with x(0) = 5. Work out x(1) to 3 decimal places.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 162. Work out y when x = 2.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 7 cm and 8 cm and an area of 24.25 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 3/28. Work out r.

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