Daily Practice · Higher

Daily Practice - Higher

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

31st March 2025

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

1
Probability Trees3 marks
2 of 10 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 152 values. What cumulative frequency do you read across from to estimate the lower quartile?
3
Fractional and Negative Indices3 marks
Work out 100^(3/2).
4
Trigonometric and Exponential Graphs2 marks
The curve y = 6^x is drawn. Work out y when x = 1, and write down where the curve crosses the y-axis.
5
Repeated Percentage Change3 marks
A price rises by 10% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.

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