Daily Practice

Higher Plus

14th July 1974

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 8 cm by 4 cm by 13 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
2
Probability Equation Questions3 marks
A bag holds 6 red and n blue counters. The probability of taking a red is 3/5. Work out n.
3
Histograms2 marks
On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 2. How many more values are in the wider class?
4
Bounds3 marks
x = 170 and y = 99, each correct to the nearest whole number. Work out the upper bound of x - y.
5
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 2x + 5.

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