Daily Practice · Higher

Daily Practice - Higher

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

7th December 2023

5 questions · 13 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
Histograms2 marks
A histogram class is 20 units wide and contains 80 values. Work out the frequency density.
3
The Product Rule for Counting3 marks
A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
4
Trigonometric and Exponential Graphs2 marks
The curve y = 2^x is drawn. Work out y when x = 5, and write down where the curve crosses the y-axis.
5
Repeated Percentage Change3 marks
A town's population is 16000 and grows by 3% each year. Work out the population after 3 years, to the nearest whole number.

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