Daily Practice

Higher Plus

7th April 1981

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 = 3, y = 162. Work out y when x = 4.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = m and vector OB = b. N is the point dividing AB in the ratio 1 : 2. Write vector ON in terms of m and b.
3
Probability Equation Questions3 marks
The probability of winning a game is 3/10. A player expects 21 wins. How many games did they play?
4
Histograms3 marks
On a histogram the bar for 40 < x <= 50 has a frequency density of 3.5. How many values are in that class?
5
Surds3 marks
Expand and simplify (2 + sqrt(10))(2 - sqrt(10)).

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