Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
6th August 2025
- 1Bounds2 marks
A mass is 13.8 kg, correct to 1 decimal place. Write down the upper bound.
- 2Trigonometric and Exponential Graphs2 marks
The curve y = 5^x is drawn. Work out y when x = 4, and write down where the curve crosses the y-axis.
- 3Speed and Density2 marks
A block has volume 60 cm^3 and density 4 g/cm^3. Work out its mass.
- 4Vectors3 marks
a is the column vector (0, 4) and b is (3, 4). Work out 2a - 3b as a column vector.
- 5Probability 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.
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