Daily Practice · Higher

Daily Practice - Higher

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

24th September 2007

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

1
Repeated Percentage Change3 marks
A price rises by 20% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
2
Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 3. The smaller has an area of 21 cm^2. Work out the area of the larger.
3
Conditional Probability3 marks
18 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
4
Cumulative Frequency2 marks
A cumulative frequency graph is drawn for 108 values. What cumulative frequency do you read across from to estimate the lower quartile?
5
The Product Rule for Counting3 marks
A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?

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