Daily Practice

Higher Plus

14th March 1976

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

1
Bounds3 marks
x = 153 and y = 19, 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) + 2) with x(0) = 2. Work out x(1) to 3 decimal places.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 10. Work out y when x = 49.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = m and vector OB = p. N is the midpoint. Write vector ON in terms of m and p.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/4. A player expects 30 wins. How many games did they play?

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