Daily Practice · Higher
April 2007 - Higher 5-a-day
Every Higher sheet published in April 2007, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' April 2007 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 2007
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 2007A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 2nd April 2007Factorise x^2 + 12x + 35.
- 3rd April 2007x : y = 2 : 3. Write y in terms of x.
- 4th April 2007Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 240 cm^3. Work out the volume of the smaller.
- 5th April 200716 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th April 2007A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 7th April 2007Work out (56 x 10^10) / (7 x 10^3). Give your answer in standard form.
- 8th April 2007Work out the equation of the line parallel to y = -x + 3 that passes through (6, -4).
- 9th April 2007A price rises by 15% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 10th April 2007A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 24 cm. Work out the other shorter side.
- 11th April 20071 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th April 2007A histogram class is 20 units wide and contains 50 values. Work out the frequency density.
- 13th April 2007Write the recurring decimal 0.555... as a fraction in its simplest form.
- 14th April 2007A line has equation y = 3x + 1. Work out the gradient of any line perpendicular to it.
- 15th April 2007y is inversely proportional to x. When x = 4, y = 18. Work out y when x = 6.
- 16th April 2007ABCD is a cyclic quadrilateral. Angle ABC is 72°. Work out angle ADC.
- 17th April 200726 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th April 2007Four classes in order have frequencies 9, 9, 8, 4. Write down the cumulative frequency at the end of the third class.
- 19th April 2007Work out 25^(3/2).
- 20th April 2007For the curve y = 20/x, work out y when x = 4, and write down the equation of its vertical asymptote.
- 21st April 2007y is directly proportional to x^2. When x = 3, y = 54. Work out y when x = 4.
- 22nd April 2007A, B and C are points on a circle with centre O. Angle AOC is 140°. Work out angle ABC, where B is on the major arc.
- 23rd April 20073 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th April 200745 beetles are marked and released. Later 64 are caught, of which 8 are marked. Estimate the population.
- 25th April 2007Write sqrt(12) in the form a sqrt(b), where b is as small as possible.
- 26th April 2007Expand and simplify (x - 5)(x + 5)(x + 1).
- 27th April 2007y is directly proportional to x. When x = 5, y = 20. Work out y when x = 8.
- 28th April 2007A cone has base radius 7 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.
- 29th April 200712 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 30th April 2007A cumulative frequency graph is drawn for 200 values. What cumulative frequency do you read across from to estimate the lower quartile?