Daily Practice

Higher Plus

2nd October 1970

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 = 4, y = 384. Work out y when x = 3.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = c. M is the point dividing AB in the ratio 3 : 1. Write vector OM in terms of a and c.
3
Probability Equation Questions3 marks
The probability of winning a game is 4/5. A player expects 56 wins. How many games did they play?
4
Histograms3 marks
On a histogram the bar for 60 < x <= 65 has a frequency density of 0.4. How many values are in that class?
5
Surds3 marks
Rationalise the denominator of 15/sqrt(5), giving your answer in its simplest form.

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