BMATQuestions

BMAT Section 1, 473 questions from 14 papers. Open one to answer it.

50 questions

Exactly 27 identical little cubes can be put together to make one larger solid cube with a volume of 216 cubic centimetres.BMAT 2022 · Question 24 · Spatial · Save
A cube with painted triangles on some of the corners of its faces is shown below in two different positions.BMAT 2022 · Question 26 · Spatial · Save
The drawing below shows five blocks. Some of the blocks can be fitted together.BMAT 2022 · Question 32 · Spatial · Save
I have a flower bed that measures 12 metres by 8 metres. I wish to create a half metre wide path around the edge of the bed (as shown below), using square paving slabs measuring 50 cm by 50 cm.BMAT 2021 · Question 6 · Spatial · Save
Shown below are some of the blocks from an assembly toy.BMAT 2021 · Question 20 · Spatial · Save
Three identical Roman dice are shown below.BMAT 2021 · Question 32 · Spatial · Save
The following structure is a triangular-based pyramid made from black and grey rods and white, grey and black spheres connecting the rods together. The black and grey rods are all the same length.BMAT 2020 · Question 20 · Spatial · Save
Two identical rectangular pieces of paper are arranged to overlap each other by 5 cm. One of the rectangles has been folded to make the structure below (not to scale). The length of the whole arrangement is 75 cm.BMAT 2020 · Question 28 · Spatial · Save
A puzzle consists of 4 tiles, all of which have the shape shown below. On each tile one of the squares is coloured black and the other three are coloured white. No two tiles look the same. The back of each tile is grey.BMAT 2020 · Question 32 · Spatial · Save
The transparent box shown below has identical arrows painted on one pair of opposite faces.BMAT 2019 · Question 5 · Spatial · Save
Most board games that require two dice are supplied with two identical dice, both having 1 to 6 spots on their faces, with the spots on opposite faces adding up to 7. The two dice supplied with one of my board games are different. One has 0 to 5 spots on its faces, with the spots on opposite faces adding up to 5,…BMAT 2018 · Question 29 · Spatial · Save
A piece of a puzzle is shown below.BMAT 2017 · Question 5 · Spatial · Save
The following diagram shows how the pieces fit together in a child’s 15-piece jigsaw puzzle:BMAT 2017 · Question 23 · Spatial · Save
The total number of spots on any two opposite faces of conventional dice should always be seven. Below are two views of a dice that has lost one spot from each of three of its faces.BMAT 2017 · Question 29 · Spatial · Save
The drawing below shows the outlines of three pieces of card (one square and two right angled triangles) which all fit exactly around the same size circle.BMAT 2016 · Question 23 · Spatial · Save
I have a piece of string which I stretch out in a straight line. I then take a thin red felt-tip pen and make a small mark in the middle of the string. Then I fold the string in half and again stretch it out, holding onto the fold and to the two ends. This time I make a small mark in the middle of both strands of the…BMAT 2016 · Question 29 · Spatial · Save
There were 15 competitors in the Long Jump event at a recent athletics meeting. In the preliminary competition all the competitors were allowed two attempts, with the better of the two to count in each case. The top three and anyone else within 50 cm of third place qualified to take part in the final later in the day.…BMAT 2015 · Question 5 · Spatial · Save
The street map below shows the locations of a hotel and six visitor attractions, together with walking distances shown in metres (m). A tourist stayed in the hotel and had time to visit only five of the attractions by taking the shortest route.BMAT 2015 · Question 23 · Spatial · Save
There are a total of 7 spots on each pair of opposite faces on a conventional die. I have two unconventional dice. They both have faces with 1, 2, 3, 4, 5 and 6 spots, but none of the opposite pairs on either die have a total of 7 spots and all six pairs have a different total. These are two views of one of my dice:BMAT 2015 · Question 31 · Spatial · Save
This is part of a tiled floor in my house, surrounding a space where I have removed a broken tile. Each tile has a pattern of sixteen smaller squares, three of which are black. On each tile, one of the black squares is a corner square, one is an edge square and one is an inner square. No two black squares touch,…BMAT 2014 · Question 5 · Spatial · Save
The drawing below shows a pictorial view of a model for a house.BMAT 2014 · Question 14 · Spatial · Save
The drawing below shows the outer surface of the net of a hexagonal package with geometric shaped windows in each side. The inner surface is painted black.BMAT 2014 · Question 28 · Spatial · Save
There are three stations on a single-track railway. The middle station of Laydon has two platforms and two separate tracks, each capable of taking any size train using the track.BMAT 2014 · Question 30 · Spatial · Save
The diagram below represents all the ferry routes between the islands in the Kuusi group.Each ferry runs a shuttle service between two islands. The journeys between the main central island (Nolla) and each of the outer islands take 30 minutes in either direction and all journeys between two of the outer islands take…BMAT 2014 · Question 31 · Spatial · Save
I wish to tile part of my wall with a mixture of five patterned, cross-shaped tiles. I want to use the same number of each tile, but end up with the same area of each pattern.BMAT 2012 · Question 3 · Spatial · Save
My brother and I have commissioned a landscape gardener to redesign the back garden of the house into which our parents have recently moved. The diagram below shows the new layout:BMAT 2012 · Question 5 · Spatial · Save
The pattern below is to be used to tile a very large floor. It consists of hexagonal, square and triangular shaped tiles.BMAT 2012 · Question 7 · Spatial · Save
The net shown below was cut out and folded to make a cube.BMAT 2012 · Question 14 · Spatial · Save
This is the floor of my conservatory: It contains the following four individual tile patterns:BMAT 2012 · Question 16 · Spatial · Save
A student has been carrying out tests to see how well young children can follow instructions. A group of children have been colouring in squares on a 4x4 grid. They had been given details of which ones to colour. The student forgot to mark the grids to show the top and bottom and so when the grids were collected for…BMAT 2012 · Question 23 · Spatial · Save
The diagram below shows two perpendicular mirrors with a reflected tile on the faces of both mirrors.BMAT 2011 · Question 5 · Spatial · Save
This is the floor of a room in my house, which is tiled with 81 tiles of the same size.BMAT 2011 · Question 12 · Spatial · Save
Data for the world’s largest 10 lakes are shown below:BMAT 2011 · Question 16 · Spatial · Save
There are ten houses on Horseshoe Road, situated as shown above. They are numbered from 1 to 10, but not conventionally, and the numbers are missing on five of them. However, it is known that wherever four houses lie along a straight line, the four house numbers add up to 21.BMAT 2011 · Question 23 · Spatial · Save
I want to create a simple jigsaw puzzle. I have five pieces as shown below. Each piece is made from four identical squares. I want to choose three of the pieces to make up either a 4x3 rectangle or a 6x2 rectangle.BMAT 2011 · Question 27 · Spatial · Save
An exhibition of the work of a modern artist is currently on display at an art gallery for a period of 30 days. One of the exhibits, entitled “Countdown”, started off as 30 individual identical cylinders arranged in 10 stacks of 3, with the following appearance when viewed from above. Each day since the exhibition…BMAT 2011 · Question 31 · Spatial · Save
On a darts scoreboard, each number is made up by some of the lights in a 5 x 3 grid being lit. The correct appearance of each number is shown below: Darts scores consist of three digits and the score can be anything between 002 and 501. One night, for one player's score, the first of the three digits was faulty and…BMAT 2010 · Question 7 · Spatial · Save
I am planning to tile my floor. Each tile is square and has a design which is a 3x3 grid of squares. I want to use a combination of 4 different types of tile and when I have finished I want to have used the same number of each tile. I also want the proportion of squares of each colour to be equal.BMAT 2010 · Question 12 · Spatial · Save
These are the most common versions of the digits that appear on digital displays, and are to be assumed in this question.BMAT 2010 · Question 14 · Spatial · Save
The image below shows a view of a conventional six sided die with opposite sides adding up to 7 (so the 1 is opposite the 6 etc).BMAT 2010 · Question 16 · Spatial · Save
The Rimmer Club is named after the character from the cult TV series "Red Dwarf" who has the letter H on his forehead. Tonight is the Rimmer Club's annual dinner. Rory has been given the task of making place cards. He has decided to make the cards in the form of a letter H, with dimensions as shown below:BMAT 2010 · Question 18 · Spatial · Save
A target at a fair has twelve sections, marked as shown above. Participants throw four darts at the target. They win a prize if all four darts land in different sections of the target and the total score is at least 30. Phil has thrown two of his four darts, scoring 12 and 8. He is confident that whenever he throws he…BMAT 2010 · Question 27 · Spatial · Save
The net shown can be folded up to make a cube.BMAT 2010 · Question 31 · Spatial · Save
The Penguin Theatre Group is designing a brochure to publicise their new production. The brochure will be made from a single sheet of paper which will be folded exactly in half twice, the final shape being a right angled triangle as shown below:BMAT 2009 · Question 11 · Spatial · Save
Today is our villageís fundñraising Fun Day. This is the current state of the ìTreasure Huntî, in which entrants put their initials in their chosen square(s).BMAT 2009 · Question 15 · Spatial · Save
A particular company manufactures square floor tiles whose patterns consist of 16 smaller squares of equal size. Two of the smaller square on each tile are black, whilst the rest are white. When I opened a packet of 12 of these tiles this morning and laid them out as shown below, I thought that they were all different.BMAT 2009 · Question 29 · Spatial · Save
I played a game at a friend’s house yesterday that involved throwing a pair of dice. When I threw them for my first turn they landed as follows:BMAT 2008 · Question 5 · Spatial · Save
My rectangular patio is 5 m long and 4 m wide. It is covered with white tiles, and some black tiles, of three different sizes (60 cm x 60 cm, 60 cm x 40 cm and 40 cm x 40 cm), giving it the following appearance:BMAT 2008 · Question 7 · Spatial · Save
A farmer has a tank for storing diesel of the form shown below, buried in his farmyard. He calculates the volume remaining in the tank using a dipstick which measures the depth of diesel and then referring to a chart. Unfortunately he has calibration charts for several different tanks and is not sure which is his.BMAT 2008 · Question 16 · Spatial · Save
The picture below shows the pieces of a puzzle called the Soma Cube which may be assembled to make a 3 x 3 x 3 cube.BMAT 2008 · Question 31 · Spatial · Save

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