Daily Practice

Higher Plus

21st March 1969

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

1
Surds3 marks
Rationalise the denominator of 6/sqrt(2), giving your answer in its simplest form.
2
Iteration3 marks
Use the iteration x(n+1) = cube root of (10x(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 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 = m and vector OB = c. N is the point dividing AB in the ratio 1 : 2. Write vector ON in terms of m and c.
5
Probability Equation Questions3 marks
The probability of winning a game is 2/5. A player expects 14 wins. How many games did they play?

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