Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

17th July 1998

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 (7x(n) + 3) with x(0) = 4. Work out x(1) to 3 decimal places.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 8. Work out y when x = 81.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = m and vector OB = p. N is the point dividing AB in the ratio 1 : 3. Write vector ON in terms of m and p.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 20 wins. How many games did they play?

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