Daily Practice

Higher

1st December 1986

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

1
Repeated Percentage Change3 marks
A price rises by 10% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
2
Vectors3 marks
a is the column vector (-4, -5) and b is (-5, -3). Work out 5a - 5b as a column vector.
3
Probability Trees3 marks
2 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
4
Cumulative Frequency2 marks
A cumulative frequency graph is drawn for 132 values. What cumulative frequency do you read across from to estimate the lower quartile?
5
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.4646... as a fraction in its simplest form.

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