Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

25th August 2000

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 = 81. Work out y when x = 2.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = a. N is the point dividing AB in the ratio 1 : 2. Write vector ON in terms of c and a.
3
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 30 wins. How many games did they play?
4
Histograms3 marks
On a histogram the bar for 20 < x <= 40 has a frequency density of 0.4. How many values are in that class?
5
Surds3 marks
Rationalise the denominator of 50/sqrt(5), giving your answer in its simplest form.

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