Daily Practice · Higher
April 2013 - Higher 5-a-day
Every Higher sheet published in April 2013, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' April 2013 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 2013
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 2013A price rises by 10% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 2nd April 2013In triangle ABC, angle A is 58°, angle B is 73° and side a is 18 cm. Use the sine rule to work out side b, to 1 decimal place.
- 3rd April 20138 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4th April 2013A histogram class is 4 units wide and contains 2 values. Work out the frequency density.
- 5th April 2013Work out 49^(3/2).
- 6th April 2013Factorise x^2 - 36.
- 7th April 2013y is inversely proportional to x. When x = 5, y = 12. Work out y when x = 4.
- 8th April 2013A right-angled triangle has sides 12 cm, 16 cm and 20 cm. Work out the angle opposite the 12 cm side, to 1 decimal place.
- 9th April 201328 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 10th April 2013Four classes in order have frequencies 9, 3, 4, 6. Write down the cumulative frequency at the end of the third class.
- 11th April 2013Write sqrt(12) in the form a sqrt(b), where b is as small as possible.
- 12th April 2013A region is defined by y <= 2x - 7. Should the boundary line be solid or dashed, and why?
- 13th April 2013y is directly proportional to x^2. When x = 3, y = 36. Work out y when x = 5.
- 14th April 2013The point (-3, 6) is enlarged by scale factor -2 about the centre (-2, 1). Write down the coordinates of the image.
- 15th April 20132 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 16th April 201345 voles are marked and released. Later 32 are caught, of which 8 are marked. Estimate the population.
- 17th April 2013A meal deal has 5 mains, 8 sides and 2 drinks. How many different meals are possible?
- 18th April 2013Factorise x^2 - 16x + 63.
- 19th April 2013y is directly proportional to x. When x = 5, y = 40. Work out y when x = 8.
- 20th April 2013Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 576 cm^3. Work out the volume of the smaller.
- 21st April 201321 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 22nd April 2013A cumulative frequency graph is drawn for 144 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 23rd April 2013A mass is 26.6 kg, correct to 1 decimal place. Write down the upper bound.
- 24th April 2013Work out the equation of the line parallel to y = x + 7 that passes through (4, 3).
- 25th April 2013A town's population is 12500 and grows by 8% each year. Work out the population after 4 years, to the nearest whole number.
- 26th April 2013A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 16 cm. Work out the other shorter side.
- 27th April 20133 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 28th April 2013A box plot has a minimum of 9 and a maximum of 26. Work out the range.
- 29th April 2013Write 7^-1 as a fraction.
- 30th April 2013A line has equation y = -2x + 5. Work out the gradient of any line perpendicular to it.