Daily Practice

Higher Plus

22nd November 1970

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

1
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 1.5, one 20 units wide with density 3.5. How many values in total?
2
Bounds3 marks
x = 138 and y = 77, each correct to the nearest whole number. Work out the upper bound of x - y.
3
Factorising Harder Quadratics3 marks
Solve 20x^2 + 49x + 30 = 0.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 18. Work out the positive value of x when y = 72.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 13 cm by 10 cm by 3 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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