Daily Practice · Higher

Daily Practice - Higher

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

26th January 2025

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

1
Fractional and Negative Indices2 marks
Write 5^-2 as a fraction.
2
Trigonometric and Exponential Graphs2 marks
The curve y = 6^x is drawn. Work out y when x = 4, and write down where the curve crosses the y-axis.
3
Direct and Inverse Proportion3 marks
y is inversely proportional to x. When x = 3, y = 60. Work out y when x = 10.
4
Vectors3 marks
a is the column vector (3, 2) and b is (4, -1). Work out 2a - 5b as a column vector.
5
Probability Trees3 marks
1 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

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