Daily Practice

Higher Plus

7th April 1964

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 6 cm by 7 cm by 12 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
2
Probability Equation Questions3 marks
A bag holds 5 red and n blue counters. The probability of taking a red is 5/12. Work out n.
3
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 2, one 10 units wide with density 0.6. How many values in total?
4
Surds3 marks
Expand and simplify (2 + sqrt(11))(2 - sqrt(11)).
5
Algebraic Fractions3 marks
Write 2/(x + 1) + 5/(x + 6) as a single fraction.

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