Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

21st January 2025

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

1
Transforming Graphs y=f(x)3 marks
The point (0, -2) lies on y = f(x). Write down its image on y = f(x - 6).
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 32. Work out the positive value of x when y = 288.
3
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 4a + 4b and vector RS = 20a + 20b. What does this show about PQ and RS?
4
Probability Equation Questions3 marks
The probability of winning a game is 4/5. A player expects 48 wins. How many games did they play?
5
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 1.2, one 20 units wide with density 1.4. How many values in total?

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