Daily Practice

Higher Plus

29th December 1963

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

1
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 2, one 10 units wide with density 3. How many values in total?
2
Bounds3 marks
x = 89 and y = 58, each correct to the nearest whole number. Work out the upper bound of x - y.
3
Transforming Graphs y=f(x)3 marks
The point (-5, 2) lies on y = f(x). Write down its image on y = f(x - 5).
4
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 = 45.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 13 cm by 15 cm by 10 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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