Daily Practice

Higher Plus

1st December 1953

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 6 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
2
Probability Equation Questions3 marks
A bag holds 7 red and n blue counters. The probability of taking a red is 7/9. Work out n.
3
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?
4
Surds3 marks
Expand and simplify (2 + sqrt(6))(2 - sqrt(6)).
5
Rearranging Harder Formulae3 marks
Make x the subject of 3x + 2 = y(x + 2).

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