Daily Practice

Higher Plus

2nd October 1953

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 4 cm by 13 cm by 4 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
2
Probability Equation Questions3 marks
A bag holds 8 red and n blue counters. The probability of taking a red is 8/13. Work out n.
3
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2, one 20 units wide with density 1.4. How many values in total?
4
Surds3 marks
Rationalise the denominator of 54/sqrt(6), giving your answer in its simplest form.
5
Transforming Graphs y=f(x)3 marks
The point (6, 1) lies on y = f(x). Write down its image on y = f(x) + 4.

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