Daily Practice

Higher Plus

2nd March 1965

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 = 256. Work out y when x = 2.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = m. P is the point dividing AB in the ratio 3 : 1. Write vector OP in terms of q and m.
3
Probability Equation Questions3 marks
The probability of winning a game is 2/5. A player expects 24 wins. How many games did they play?
4
Histograms3 marks
On a histogram the bar for 20 < x <= 25 has a frequency density of 1.2. How many values are in that class?
5
Surds3 marks
Expand and simplify (8 + sqrt(10))(8 - sqrt(10)).

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