Daily Practice · Higher
February 2000 - Higher 5-a-day
Every Higher sheet published in February 2000, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' February 2000 sheets in a single PDF, each tier behind its own divider page - 145 sheets in one file.
Every sheet in February 2000
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 2000Write sqrt(20) in the form a sqrt(b), where b is as small as possible.
- 2nd February 2000Expand and simplify (x + 5)(x + 4)(x + 5).
- 3rd February 2000A town's population is 18000 and grows by 4% each year. Work out the population after 5 years, to the nearest whole number.
- 4th February 2000A cone has base radius 6 cm and vertical height 21 cm. Work out its volume, leaving your answer in terms of pi.
- 5th February 200025 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th February 2000A box plot has a minimum of 16 and a maximum of 37. Work out the range.
- 7th February 2000A meal deal has 9 mains, 6 sides and 5 drinks. How many different meals are possible?
- 8th February 2000Make x the subject of y = 5x^2 - 11.
- 9th February 2000A block has volume 175 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 10th February 2000In triangle ABC, angle A is 58°, angle B is 68° and side a is 6 cm. Use the sine rule to work out side b, to 1 decimal place.
- 11th February 20003 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th February 2000A box plot has minimum 9, lower quartile 13, median 19, upper quartile 21 and maximum 27. Work out the interquartile range.
- 13th February 2000A mass is 14.5 kg, correct to 1 decimal place. Write down the upper bound.
- 14th February 2000Factorise x^2 - 16.
- 15th February 2000x : y = 3 : 8. Write y in terms of x.
- 16th February 2000A right-angled triangle has sides 12 cm, 16 cm and 20 cm. Work out the angle opposite the 12 cm side, to 1 decimal place.
- 17th February 200022 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th February 2000A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 19th February 2000Write 4^-1 as a fraction.
- 20th February 2000A region is defined by y < -x - 3. Should the boundary line be solid or dashed, and why?
- 21st February 2000A price rises by 10% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 22nd February 2000The point (-1, -1) is enlarged by scale factor -1 about the centre (4, 2). Write down the coordinates of the image.
- 23rd February 20003 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th February 2000A histogram class is 4 units wide and contains 8 values. Work out the frequency density.
- 25th February 2000Work out (6 x 10^7) x (8 x 10^-6). Give your answer in standard form.
- 26th February 2000Factorise x^2 - x - 56.
- 27th February 2000y is inversely proportional to x. When x = 9, y = 36. Work out y when x = 12.
- 28th February 2000Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 32 cm^3. Work out the volume of the smaller.
- 29th February 200016 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.