Daily Practice · Higher
April 2014 - Higher 5-a-day
Every Higher sheet published in April 2014, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' April 2014 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 2014
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 2014A line has equation y = 3x + 6. Work out the gradient of any line perpendicular to it.
- 2nd April 2014A block has volume 20 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 3rd April 2014ABCD is a cyclic quadrilateral. Angle ABC is 74°. Work out angle ADC.
- 4th April 201428 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 5th April 2014A box plot has minimum 14, lower quartile 19, median 28, upper quartile 37 and maximum 46. Work out the interquartile range.
- 6th April 2014Write the recurring decimal 0.9797... as a fraction in its simplest form.
- 7th April 2014For the curve y = -7/x, work out y when x = -1, and write down the equation of its vertical asymptote.
- 8th April 2014x : y = 7 : 9. Write y in terms of x.
- 9th April 2014A, B and C are points on a circle with centre O. Angle AOC is 124°. Work out angle ABC, where B is on the major arc.
- 10th April 20145 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 11th April 2014A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 12th April 2014A bill is £48 including VAT at 20%. Work out the amount before VAT.
- 13th April 2014Expand and simplify (x - 5)(x + 1)(x + 4).
- 14th April 2014A price rises by 15% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 15th April 2014A cone has base radius 10 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
- 16th April 201419 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 17th April 2014A histogram class is 5 units wide and contains 20 values. Work out the frequency density.
- 18th April 2014A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 19th April 2014Make x the subject of y = 2x^2 - 10.
- 20th April 2014y is inversely proportional to x. When x = 8, y = 12. Work out y when x = 6.
- 21st April 2014In triangle ABC, angle A is 70°, angle B is 47° and side a is 9 cm. Use the sine rule to work out side b, to 1 decimal place.
- 22nd April 20146 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 23rd April 2014Four classes in order have frequencies 3, 6, 10, 5. Write down the cumulative frequency at the end of the third class.
- 24th April 2014Work out (15 x 10^11) / (3 x 10^2). Give your answer in standard form.
- 25th April 2014Factorise x^2 - 25.
- 26th April 2014y is directly proportional to x^2. When x = 5, y = 175. Work out y when x = 2.
- 27th April 2014A 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.
- 28th April 20147 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 29th April 201440 newts are marked and released. Later 108 are caught, of which 9 are marked. Estimate the population.
- 30th April 2014Write the recurring decimal 0.444... as a fraction in its simplest form.