Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

11th June 2021

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Proof3 marks
Prove that the sum of 9 consecutive integers is always a multiple of 9. State the simplified sum you would use.
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 24. Work out the positive value of x when y = 54.
3
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 2a - 3b and vector RS = 8a - 12b. What does this show about PQ and RS?
4
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 8 wins. How many games did they play?
5
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 2, one 25 units wide with density 3. How many values in total?

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