Daily Practice · Higher Plus

Daily Practice - Higher Plus

1st October 1993

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 = 192. Work out y when x = 3.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = q. P is the point dividing AB in the ratio 1 : 3. Write vector OP in terms of a and q.
3
Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 33 wins. How many games did they play?
4
Histograms3 marks
On a histogram the bar for 30 < x <= 50 has a frequency density of 2.4. How many values are in that class?
5
Surds3 marks
Rationalise the denominator of 24/sqrt(2), giving your answer in its simplest form.

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