Daily Practice · Higher

Daily Practice - Higher

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

22nd March 2021

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

1
Conditional Probability3 marks
19 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
2
Cumulative Frequency2 marks
A cumulative frequency graph is drawn for 120 values. What cumulative frequency do you read across from to estimate the lower quartile?
3
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?
4
Quadratic Formula3 marks
Work out the discriminant of x^2 - 4x + 8 = 0 and say how many real solutions it has.
5
Repeated Percentage Change3 marks
A price rises by 15% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.

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