Daily Practice · Higher

Daily Practice - Higher

Grades 6-7 - Higher-tier method and manipulation.

11th December 2007

5 questions · 14 marks · Grades 6-7 · 61 question types in this band

1
Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 5 : 8. Write y in terms of x.
2
Vectors3 marks
a is the column vector (0, -1) and b is (0, -3). Work out 4a - 3b as a column vector.
3
Probability Trees3 marks
4 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
4
Capture Recapture3 marks
40 newts are marked and released. Later 48 are caught, of which 4 are marked. Estimate the population.
5
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.555... as a fraction in its simplest form.

You are looking at an earlier sheet. Today's sheet is the one that adds a day.

Your run is kept in this browser only, and there is no account.

Every sheet is deterministic: the same date always regenerates the same five questions. All of December 2007, including the monthly compilation PDF.