Daily Practice

Higher

18th November 1987

5 questions · 13 marks · Grades 6-7 · 61 question types in this band

1
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.2121... as a fraction in its simplest form.
2
Trigonometric and Exponential Graphs2 marks
The curve y = 2^x is drawn. Work out y when x = 5, and write down where the curve crosses the y-axis.
3
Speed and Density2 marks
A block has volume 75 cm^3 and density 2.5 g/cm^3. Work out its mass.
4
Vectors3 marks
a is the column vector (-1, 2) and b is (5, 2). Work out 2a - 3b as a column vector.
5
Probability Trees3 marks
1 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

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