Daily Practice

Higher Plus

19th June 1973

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 10 cm by 8 cm by 13 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
2
Probability Equation Questions3 marks
A bag holds 4 red and n blue counters. The probability of taking a red is 4/7. Work out n.
3
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 0.4, one 5 units wide with density 3.5. How many values in total?
4
Surds3 marks
Expand and simplify (6 + sqrt(7))(6 - sqrt(7)).
5
Rearranging Harder Formulae3 marks
Make x the subject of 8x + 5 = y(x + 5).

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