Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

1st February 2023

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

1
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence -6, -6, -4, 0, ...
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 150. Work out the positive value of x when y = 216.
3
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = a - 6b and vector RS = 4a - 24b. What does this show about PQ and RS?
4
Probability Equation Questions3 marks
The probability of winning a game is 3/5. A player expects 90 wins. How many games did they play?
5
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 1.5, one 25 units wide with density 0.8. How many values in total?

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