Daily Practice · Higher

Daily Practice - Higher

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

18th October 2021

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

1
Probability Trees3 marks
3 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
2
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?
3
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.444... as a fraction in its simplest form.
4
Factorising Harder Quadratics3 marks
Factorise 2x^2 + 9x + 4.
5
Repeated Percentage Change3 marks
A price rises by 25% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.

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 October 2021, including the monthly compilation PDF.