Daily Practice

Higher Plus

7th April 1987

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 8 cm by 7 cm by 7 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
2
Probability Equation Questions3 marks
A bag holds 2 red and n blue counters. The probability of taking a red is 1/4. 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 0.6. How many values in total?
4
Surds3 marks
Expand and simplify (5 + sqrt(7))(5 - sqrt(7)).
5
Transforming Graphs y=f(x)3 marks
The point (-4, 0) lies on y = f(x). Write down its image on y = f(x - 2).

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