Daily Practice · Higher Plus

Daily Practice - Higher Plus

21st September 1995

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 = 3.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = b. P is the point dividing AB in the ratio 1 : 3. Write vector OP in terms of c and b.
3
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 36 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
Simplify sqrt(72) + sqrt(18), giving your answer in the form a sqrt(b).

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