Daily Practice

Higher Plus

20th June 1967

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 = b and vector OB = q. N is the point dividing AB in the ratio 1 : 2. Write vector ON in terms of b and q.
3
Probability Equation Questions3 marks
The probability of winning a game is 7/8. A player expects 98 wins. How many games did they play?
4
Histograms3 marks
On a histogram the bar for 20 < x <= 40 has a frequency density of 2.4. How many values are in that class?
5
Surds3 marks
Expand and simplify (5 + sqrt(7))(5 - sqrt(7)).

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