Daily Practice

Higher Plus

24th February 1989

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 = 2, y = 48. Work out y when x = 4.
2
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 : 2. Write vector ON in terms of a and m.
3
Probability Equation Questions3 marks
The probability of winning a game is 2/5. A player expects 16 wins. How many games did they play?
4
Histograms3 marks
On a histogram the bar for 40 < x <= 45 has a frequency density of 1.5. How many values are in that class?
5
Surds3 marks
Rationalise the denominator of 63/sqrt(7), giving your answer in its simplest form.

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