Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

29th September 2023

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

1
Quadratic Inequalities3 marks
Solve x^2 - 16 > 0.
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 225. Work out the positive value of x when y = 36.
3
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 5a + 5b and vector RS = 15a + 15b. What does this show about PQ and RS?
4
Probability Equation Questions3 marks
The probability of winning a game is 3/10. A player expects 18 wins. How many games did they play?
5
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 1.5, one 5 units wide with density 3.5. How many values in total?

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