Daily Practice

Higher Plus

2nd May 1986

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 2.5, one 20 units wide with density 1.4. How many values in total?
2
Surds3 marks
Rationalise the denominator of 24/sqrt(6), giving your answer in its simplest form.
3
Transforming Graphs y=f(x)3 marks
The point (3, 1) lies on y = f(x). Write down its image on y = -f(x).
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 200. Work out the positive value of x when y = 512.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 7 cm by 3 cm by 11 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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