Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

10th December 2023

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

1
Transforming Graphs y=f(x)3 marks
The point (-2, 6) lies on y = f(x). Write down its image on y = f(x) + 4.
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 80. Work out the positive value of x when y = 320.
3
3d Pythagoras and Trigonometry3 marks
A cuboid measures 12 cm by 4 cm by 14 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
4
Conditional Probability3 marks
A bag holds 7 red and 7 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
5
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 1.2, one 5 units wide with density 1.4. How many values in total?

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