Daily Practice · Higher
January 2016 - Higher 5-a-day
Every Higher sheet published in January 2016, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' January 2016 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in January 2016
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 2016A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 2nd January 2016A meal deal has 3 mains, 8 sides and 5 drinks. How many different meals are possible?
- 3rd January 2016Make x the subject of y = 6x^2 - 10.
- 4th January 2016A price rises by 20% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 5th January 2016In triangle ABC, angle A is 33°, angle B is 42° and side a is 15 cm. Use the sine rule to work out side b, to 1 decimal place.
- 6th January 20164 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 7th January 2016A histogram class is 4 units wide and contains 6 values. Work out the frequency density.
- 8th January 2016A mass is 290 kg, correct to the nearest 10. Write down the upper bound.
- 9th January 2016Factorise x^2 - 144.
- 10th January 2016y is inversely proportional to x. When x = 5, y = 60. Work out y when x = 10.
- 11th January 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.
- 12th January 201628 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 January 2016Four classes in order have frequencies 7, 11, 10, 3. Write down the cumulative frequency at the end of the third class.
- 14th January 2016Write 6^-3 as a fraction.
- 15th January 2016A region is defined by y < -x + 5. Should the boundary line be solid or dashed, and why?
- 16th January 2016y is directly proportional to x^2. When x = 3, y = 54. Work out y when x = 9.
- 17th January 2016The point (-5, -2) is enlarged by scale factor -3 about the centre (-3, 4). Write down the coordinates of the image.
- 18th January 20161 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 19th January 201620 beetles are marked and released. Later 24 are caught, of which 3 are marked. Estimate the population.
- 20th January 2016Work out (6 x 10^5) x (7 x 10^3). Give your answer in standard form.
- 21st January 2016Factorise x^2 - 3x - 28.
- 22nd January 2016y is directly proportional to x. When x = 7, y = 56. Work out y when x = 8.
- 23rd January 2016Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 168 cm^3. Work out the volume of the smaller.
- 24th January 201612 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 25th January 2016A cumulative frequency graph is drawn for 164 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 26th January 2016Write the recurring decimal 0.3636... as a fraction in its simplest form.
- 27th January 2016Work out the equation of the line parallel to y = 3x - 6 that passes through (5, 23).
- 28th January 2016A town's population is 14500 and grows by 3% each year. Work out the population after 5 years, to the nearest whole number.
- 29th January 2016A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 12 cm. Work out the other shorter side.
- 30th January 20165 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 31st January 2016A box plot has a minimum of 12 and a maximum of 61. Work out the range.