Daily Practice

Higher Plus

1st October 1957

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

1
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 1.2, one 10 units wide with density 3.5. How many values in total?
2
Surds3 marks
Expand and simplify (6 + sqrt(3))(6 - sqrt(3)).
3
Algebraic Fractions3 marks
Write 4/(x - 3) + 5/(x - 2) as a single fraction.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 28. Work out the positive value of x when y = 175.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 8 cm by 14 cm by 11 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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