Daily Practice · Higher
February 2017 - Higher 5-a-day
Every Higher sheet published in February 2017, with answers. Grades 6-7 - Higher-tier method and manipulation.
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The batch download puts all 5 tiers' February 2017 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.
Every sheet in February 2017
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 2017A meal deal has 9 mains, 9 sides and 4 drinks. How many different meals are possible?
- 2nd February 2017A region is defined by y < -3x + 2. Should the boundary line be solid or dashed, and why?
- 3rd February 2017y is directly proportional to x. When x = 7, y = 28. Work out y when x = 12.
- 4th February 2017The point (0, 4) is enlarged by scale factor -1 about the centre (4, 2). Write down the coordinates of the image.
- 5th February 20174 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th February 2017A cumulative frequency graph is drawn for 216 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 7th February 2017A mass is 250 kg, correct to the nearest 10. Write down the lower bound.
- 8th February 2017Factorise x^2 - 4x + 4.
- 9th February 2017A town's population is 15000 and grows by 3% each year. Work out the population after 6 years, to the nearest whole number.
- 10th February 2017Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 768 cm^3. Work out the volume of the smaller.
- 11th February 201721 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th February 2017A box plot has a minimum of 13 and a maximum of 34. Work out the range.
- 13th February 2017Write 7^-3 as a fraction.
- 14th February 2017Work out the equation of the line parallel to y = 4x + 5 that passes through (3, 6).
- 15th February 2017A block has volume 45 cm^3 and density 4 g/cm^3. Work out its mass.
- 16th February 2017A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 4 cm. Work out the other shorter side.
- 17th February 20175 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th February 2017A box plot has minimum 7, lower quartile 14, median 17, upper quartile 23 and maximum 28. Work out the interquartile range.
- 19th February 2017Work out (4 x 10^3) x (7 x 10^-2). Give your answer in standard form.
- 20th February 2017A line has equation y = -5x + 7. Work out the gradient of any line perpendicular to it.
- 21st February 2017x : y = 4 : 5. Write y in terms of x.
- 22nd February 2017ABCD is a cyclic quadrilateral. Angle ABC is 52°. Work out angle ADC.
- 23rd February 201714 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 24th February 2017A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 25th February 2017Write the recurring decimal 0.1010... as a fraction in its simplest form.
- 26th February 2017For the curve y = -20/x, work out y when x = -5, and write down the equation of its vertical asymptote.
- 27th February 2017A price rises by 10% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 28th February 2017A, B and C are points on a circle with centre O. Angle AOC is 58°. Work out angle ABC, where B is on the major arc.