Daily Practice

Higher Plus

25th February 1966

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

1
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 81. Work out y when x = 5.
2
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.
3
Probability Equation Questions3 marks
The probability of winning a game is 1/4. A player expects 14 wins. How many games did they play?
4
Histograms3 marks
On a histogram the bar for 60 < x <= 70 has a frequency density of 3.5. How many values are in that class?
5
Surds3 marks
Rationalise the denominator of 6/sqrt(3), giving your answer in its simplest form.

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