Daily Practice · Higher Plus

Daily Practice - Higher Plus

17th October 1993

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

1
Bounds3 marks
x = 81 and y = 17, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Iteration3 marks
Use the iteration x(n+1) = cube root of (5x(n) + 9) 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 = 135. Work out y when x = 4.
4
The Cosine Rule3 marks
A triangle has sides 21 cm, 15 cm and 16 cm. Work out the angle opposite the 21 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 6 red and n blue counters. The probability of taking a red is 6/11. Work out n.

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