Daily Practice · Higher
April 2018 - Higher 5-a-day
Every Higher sheet published in April 2018, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' April 2018 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 2018
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 20184 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd April 2018A cumulative frequency graph is drawn for 136 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 3rd April 2018A bill is £408 including VAT at 20%. Work out the amount before VAT.
- 4th April 2018Factorise x^2 - 36.
- 5th April 2018A town's population is 6500 and grows by 5% each year. Work out the population after 5 years, to the nearest whole number.
- 6th April 2018A right-angled triangle has sides 7 cm, 24 cm and 25 cm. Work out the angle opposite the 7 cm side, to 1 decimal place.
- 7th April 20187 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 8th April 2018A box plot has a minimum of 20 and a maximum of 66. Work out the range.
- 9th April 2018A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 10th April 2018A region is defined by y < x - 1. Should the boundary line be solid or dashed, and why?
- 11th April 2018A block has volume 95 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 12th April 2018The point (-3, 3) is enlarged by scale factor -1 about the centre (-3, 3). Write down the coordinates of the image.
- 13th April 20181 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th April 2018A box plot has minimum 6, lower quartile 8, median 13, upper quartile 20 and maximum 28. Work out the interquartile range.
- 15th April 2018Work out (21 x 10^8) / (7 x 10^4). Give your answer in standard form.
- 16th April 2018Factorise x^2 + 10x + 9.
- 17th April 2018x : y = 3 : 8. Write y in terms of x.
- 18th April 2018Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 621 cm^3. Work out the volume of the smaller.
- 19th April 201825 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 20th April 2018A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 21st April 2018Write the recurring decimal 0.333... as a fraction in its simplest form.
- 22nd April 2018Work out the equation of the line parallel to y = -x - 8 that passes through (5, -12).
- 23rd April 2018A price rises by 25% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 24th April 2018A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 12 cm. Work out the other shorter side.
- 25th April 20183 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th April 2018A histogram class is 5 units wide and contains 15 values. Work out the frequency density.
- 27th April 2018Work out 216^(2/3).
- 28th April 2018A line has equation y = -4x + 1. Work out the gradient of any line perpendicular to it.
- 29th April 2018y is inversely proportional to x. When x = 8, y = 15. Work out y when x = 5.
- 30th April 2018ABCD is a cyclic quadrilateral. Angle ABC is 110°. Work out angle ADC.