Daily Practice · Higher Plus

Daily Practice - Higher Plus

1st October 1995

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

1
Bounds3 marks
x = 179 and y = 134, 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) + 6) with x(0) = 4. Work out x(1) to 3 decimal places.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 75. Work out y when x = 5.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = m. N is the point dividing AB in the ratio 1 : 3. Write vector ON in terms of a and m.
5
Probability Equation Questions3 marks
The probability of winning a game is 2/5. A player expects 6 wins. How many games did they play?

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