Daily Practice · Higher
March 2001 - Higher 5-a-day
Every Higher sheet published in March 2001, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' March 2001 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 2001
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 20014 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd March 2001A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 3rd March 2001Write sqrt(8) in the form a sqrt(b), where b is as small as possible.
- 4th March 2001Factorise x^2 - 49.
- 5th March 2001A price rises by 10% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 6th March 2001A right-angled triangle has sides 9 cm, 12 cm and 15 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 7th March 200112 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 8th March 2001A histogram class is 20 units wide and contains 80 values. Work out the frequency density.
- 9th March 2001A meal deal has 9 mains, 9 sides and 2 drinks. How many different meals are possible?
- 10th March 2001A region is defined by y < x - 4. Should the boundary line be solid or dashed, and why?
- 11th March 2001y is inversely proportional to x. When x = 3, y = 30. Work out y when x = 6.
- 12th March 2001The point (-5, -1) is enlarged by scale factor -1 about the centre (4, 3). Write down the coordinates of the image.
- 13th March 20012 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th March 2001Four classes in order have frequencies 10, 7, 8, 10. Write down the cumulative frequency at the end of the third class.
- 15th March 2001A mass is 650 kg, correct to the nearest 10. Write down the lower bound.
- 16th March 2001Factorise x^2 + 6x - 16.
- 17th March 2001y is directly proportional to x^2. When x = 5, y = 175. Work out y when x = 3.
- 18th March 2001Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 320 cm^3. Work out the volume of the smaller.
- 19th March 200115 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 20th March 200145 voles are marked and released. Later 60 are caught, of which 6 are marked. Estimate the population.
- 21st March 2001Write 4^-3 as a fraction.
- 22nd March 2001Work out the equation of the line parallel to y = -2x + 6 that passes through (5, -12).
- 23rd March 2001y is directly proportional to x. When x = 8, y = 88. Work out y when x = 14.
- 24th March 2001A right-angled triangle has a hypotenuse of 15 cm and one shorter side of 12 cm. Work out the other shorter side.
- 25th March 20012 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th March 2001A cumulative frequency graph is drawn for 180 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 27th March 2001Work out (2 x 10^5) x (7 x 10^2). Give your answer in standard form.
- 28th March 2001A line has equation y = -2x + 5. Work out the gradient of any line perpendicular to it.
- 29th March 2001A town's population is 10500 and grows by 8% each year. Work out the population after 4 years, to the nearest whole number.
- 30th March 2001ABCD is a cyclic quadrilateral. Angle ABC is 62°. Work out angle ADC.
- 31st March 200122 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.