Daily Practice · Higher Plus

Daily Practice - Higher Plus

2nd December 1991

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

1
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 0.4, one 25 units wide with density 3. How many values in total?
2
Bounds3 marks
A block has mass 540 g (to the nearest 10 g) and volume 8 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
3
Transforming Graphs y=f(x)3 marks
The point (4, -1) lies on y = f(x). Write down its image on y = f(x) + 4.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 18. Work out the positive value of x when y = 50.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 4 cm by 6 cm by 3 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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