Daily Practice · Higher
April 2016 - Higher 5-a-day
Every Higher sheet published in April 2016, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' April 2016 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 2016
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 2016Write the recurring decimal 0.9797... as a fraction in its simplest form.
- 2nd April 2016Expand and simplify (x + 4)(x - 3)(x - 2).
- 3rd April 2016y is inversely proportional to x. When x = 9, y = 6. Work out y when x = 3.
- 4th April 2016A cone has base radius 3 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.
- 5th April 201618 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th April 2016Four classes in order have frequencies 11, 12, 12, 6. Write down the cumulative frequency at the end of the third class.
- 7th April 2016A bill is £552 including VAT at 20%. Work out the amount before VAT.
- 8th April 2016Make x the subject of y = 5x^2 - 9.
- 9th April 2016y is directly proportional to x^2. When x = 2, y = 16. Work out y when x = 5.
- 10th April 2016In triangle ABC, angle A is 80°, angle B is 60° and side a is 7 cm. Use the sine rule to work out side b, to 1 decimal place.
- 11th April 20164 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th April 201645 newts are marked and released. Later 40 are caught, of which 5 are marked. Estimate the population.
- 13th April 2016A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 14th April 2016Factorise x^2 - 64.
- 15th April 2016y is directly proportional to x. When x = 4, y = 48. Work out y when x = 7.
- 16th April 2016A right-angled triangle has sides 6 cm, 8 cm and 10 cm. Work out the angle opposite the 6 cm side, to 1 decimal place.
- 17th April 201615 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th April 2016A cumulative frequency graph is drawn for 180 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 19th April 2016Work out (9 x 10^10) / (3 x 10^4). Give your answer in standard form.
- 20th April 2016A region is defined by y < -3x + 1. Should the boundary line be solid or dashed, and why?
- 21st April 2016A town's population is 24000 and grows by 6% each year. Work out the population after 3 years, to the nearest whole number.
- 22nd April 2016The point (-5, -6) is enlarged by scale factor -1 about the centre (-1, 4). Write down the coordinates of the image.
- 23rd April 20165 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th April 2016A box plot has a minimum of 19 and a maximum of 55. Work out the range.
- 25th April 2016Write the recurring decimal 0.444... as a fraction in its simplest form.
- 26th April 2016Factorise x^2 + 4x + 4.
- 27th April 2016A block has volume 190 cm^3 and density 3 g/cm^3. Work out its mass.
- 28th April 2016Two 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.
- 29th April 201623 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 30th April 2016A box plot has minimum 12, lower quartile 15, median 20, upper quartile 27 and maximum 34. Work out the interquartile range.