Daily Practice

Higher Plus

8th January 1960

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

1
Surds3 marks
Rationalise the denominator of 33/sqrt(11), giving your answer in its simplest form.
2
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 2, 15, 36, 65, ...
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 256. Work out y when x = 5.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = p. N is the point dividing AB in the ratio 1 : 3. Write vector ON in terms of a and p.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/5. A player expects 12 wins. How many games did they play?

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