Daily Practice · Higher
April 2017 - Higher 5-a-day
Every Higher sheet published in April 2017, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' April 2017 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 2017
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 2017A box plot has minimum 9, lower quartile 18, median 21, upper quartile 25 and maximum 30. Work out the interquartile range.
- 2nd April 2017Write sqrt(45) in the form a sqrt(b), where b is as small as possible.
- 3rd April 2017Work out the equation of the line parallel to y = 5x + 1 that passes through (6, 21).
- 4th April 2017x : y = 5 : 6. Write y in terms of x.
- 5th April 2017A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 20 cm. Work out the other shorter side.
- 6th April 20178 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 7th April 2017A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 8th April 2017A meal deal has 4 mains, 7 sides and 4 drinks. How many different meals are possible?
- 9th April 2017A line has equation y = -5x + 4. Work out the gradient of any line perpendicular to it.
- 10th April 2017A price rises by 15% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 11th April 2017ABCD is a cyclic quadrilateral. Angle ABC is 126°. Work out angle ADC.
- 12th April 201731 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 13th April 2017A histogram class is 4 units wide and contains 2 values. Work out the frequency density.
- 14th April 2017A mass is 74 kg, correct to the nearest whole number. Write down the lower bound.
- 15th April 2017For the curve y = -120/x, work out y when x = -10, and write down the equation of its vertical asymptote.
- 16th April 2017y is inversely proportional to x. When x = 7, y = 40. Work out y when x = 10.
- 17th April 2017A, B and C are points on a circle with centre O. Angle AOC is 60°. Work out angle ABC, where B is on the major arc.
- 18th April 20172 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 19th April 2017Four classes in order have frequencies 12, 12, 4, 10. Write down the cumulative frequency at the end of the third class.
- 20th April 2017Write 8^-3 as a fraction.
- 21st April 2017Expand and simplify (x - 4)(x - 4)(x + 5).
- 22nd April 2017y is directly proportional to x^2. When x = 5, y = 50. Work out y when x = 9.
- 23rd April 2017A cone has base radius 4 cm and vertical height 12 cm. Work out its volume, leaving your answer in terms of pi.
- 24th April 201723 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 25th April 201720 beetles are marked and released. Later 32 are caught, of which 4 are marked. Estimate the population.
- 26th April 2017Work out (7 x 10^5) x (2 x 10^-6). Give your answer in standard form.
- 27th April 2017Make x the subject of y = 3x^2 - 10.
- 28th April 2017y is directly proportional to x. When x = 6, y = 12. Work out y when x = 14.
- 29th April 2017In triangle ABC, angle A is 32°, angle B is 61° and side a is 15 cm. Use the sine rule to work out side b, to 1 decimal place.
- 30th April 20171 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.