Daily Practice · Higher
January 2001 - Higher 5-a-day
Every Higher sheet published in January 2001, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' January 2001 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in January 2001
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 2001A cumulative frequency graph is drawn for 232 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 2nd January 2001A meal deal has 8 mains, 4 sides and 5 drinks. How many different meals are possible?
- 3rd January 2001Expand and simplify (x + 2)(x - 2)(x + 2).
- 4th January 2001A town's population is 19000 and grows by 6% each year. Work out the population after 6 years, to the nearest whole number.
- 5th January 2001A cone has base radius 8 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.
- 6th January 200116 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 7th January 2001A box plot has a minimum of 20 and a maximum of 63. Work out the range.
- 8th January 2001A mass is 630 kg, correct to the nearest 10. Write down the lower bound.
- 9th January 2001Make x the subject of y = 5x^2 - 2.
- 10th January 2001A block has volume 95 cm^3 and density 8 g/cm^3. Work out its mass.
- 11th January 2001In triangle ABC, angle A is 42°, angle B is 63° and side a is 14 cm. Use the sine rule to work out side b, to 1 decimal place.
- 12th January 20015 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 13th January 2001A box plot has minimum 5, lower quartile 13, median 22, upper quartile 27 and maximum 36. Work out the interquartile range.
- 14th January 2001Write 3^-2 as a fraction.
- 15th January 2001Factorise x^2 - 4.
- 16th January 2001x : y = 2 : 9. Write y in terms of x.
- 17th January 2001A right-angled triangle has sides 9 cm, 40 cm and 41 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 18th January 200124 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 19th January 2001A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 20th January 2001Work out (9 x 10^6) x (8 x 10^-4). Give your answer in standard form.
- 21st January 2001A region is defined by y <= x - 6. Should the boundary line be solid or dashed, and why?
- 22nd January 2001A price rises by 20% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 23rd January 2001The point (5, -5) is enlarged by scale factor -2 about the centre (3, 3). Write down the coordinates of the image.
- 24th January 20014 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 25th January 2001A histogram class is 5 units wide and contains 15 values. Work out the frequency density.
- 26th January 2001Write the recurring decimal 0.7474... as a fraction in its simplest form.
- 27th January 2001Factorise x^2 - 5x + 6.
- 28th January 2001y is inversely proportional to x. When x = 9, y = 24. Work out y when x = 6.
- 29th January 2001Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 144 cm^3. Work out the volume of the smaller.
- 30th January 200114 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 31st January 2001Four classes in order have frequencies 4, 6, 10, 12. Write down the cumulative frequency at the end of the third class.