Daily Practice

Higher Plus

18th September 1955

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

1
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2, one 5 units wide with density 0.8. How many values in total?
2
Bounds3 marks
x = 151 and y = 115, each correct to the nearest whole number. Work out the upper bound of x - y.
3
Completing the Square3 marks
Write x^2 + 4x + 3 in the form (x + a)^2 + b.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 144. Work out the positive value of x when y = 36.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 8 cm by 11 cm by 13 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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