Daily Practice · Higher

Daily Practice - Higher

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

3rd February 2022

5 questions · 13 marks · Grades 6-7 · 61 question types in this band

1
Probability Trees3 marks
2 of 8 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 2 units wide and contains 6 values. Work out the frequency density.
3
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.7878... as a fraction in its simplest form.
4
Trigonometric and Exponential Graphs2 marks
The curve y = 2^x is drawn. Work out y when x = 2, and write down where the curve crosses the y-axis.
5
Repeated Percentage Change3 marks
A town's population is 3500 and grows by 8% each year. Work out the population after 3 years, to the nearest whole number.

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