Daily Practice

Higher Plus

22nd December 1985

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

1
Bounds3 marks
x = 180 and y = 82, 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 (7x(n) + 1) with x(0) = 4. Work out x(1) to 3 decimal places.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 16. Work out y when x = 3.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = p. X is the point dividing AB in the ratio 1 : 3. Write vector OX in terms of c and p.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/5. A player expects 24 wins. How many games did they play?

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