Daily Practice

Higher Plus

20th December 1955

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 = c and vector OB = a. X is the point dividing AB in the ratio 3 : 1. Write vector OX in terms of c and a.
3
Probability Equation Questions3 marks
The probability of winning a game is 1/4. A player expects 8 wins. How many games did they play?
4
Histograms3 marks
On a histogram the bar for 0 < x <= 5 has a frequency density of 3.5. How many values are in that class?
5
Surds3 marks
Expand and simplify (7 + sqrt(11))(7 - sqrt(11)).

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