Daily Practice

Higher Plus

16th August 1975

5 questions · 14 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 2.5, one 5 units wide with density 0.6. How many values in total?
2
Bounds3 marks
A car covers 400 m (to the nearest 10 m) in 5 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
3
Algebraic Fractions3 marks
Write 3/(x - 4) + 2/(x - 3) as a single fraction.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 112. Work out the positive value of x when y = 448.
5
Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that a radius is drawn to the midpoint of a chord. State the reason being quoted.

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