Mixed Deck — All 11+ Topics Flashcards

You are facing north. You turn 270 degrees clockwise. Which direction are you now facing?

Answer: West

Starting at north, turning 270° clockwise: 90° = East, 180° = South, 270° = West.

In a survey, 45% of 200 people preferred tea, 30% preferred coffee, and the rest preferred juice. How many people preferred juice?

Answer: 50

Juice = 100% - 45% - 30% = 25%. 25% of 200 = 50 people.

Which word does not belong in this group? Apple, Banana, Carrot, Grape, Strawberry

Answer: Carrot

Carrot is a vegetable, while all the others (apple, banana, grape, strawberry) are fruits.

It takes 3 painters 8 hours to paint a fence. How long would it take 6 painters?

Answer: 4 hours

Total work = 3 × 8 = 24 painter-hours. With 6 painters: 24 ÷ 6 = 4 hours.

A shape is made from 5 unit cubes joined face-to-face. It looks like an L-shape from above. What is the minimum number of unit cubes needed?

Answer: 5

An L-shape from above requires at least 5 unit cubes: 3 in a row and 2 extending perpendicular from one end, all on the same level.

A compass bearing of 135° corresponds to which direction?

Answer: South-East

Compass bearings go clockwise from North (0°). 90° = East, 135° = halfway between East (90°) and South (180°) = South-East.

If a pattern shows shapes rotating 45 degrees each step, how many steps until the shape returns to its original position?

Answer: 8

A full rotation is 360 degrees. At 45 degrees per step: 360 ÷ 45 = 8 steps to return to the original position.

A bicycle that normally costs £250 is in a sale with a 20% discount. What is the sale price of the bicycle?

Answer: £200

To find the discount amount, calculate 20% of £250. 10% of £250 is £25, so 20% is 2 × £25 = £50. The sale price is the original price minus the discount: £250 - £50 = £200. Alternatively, if there is a 20% discount, you pay 80% of the price. 80% of £250 is 0.8 × 250 = £200.

If x + 7 = 3x - 5, what is the value of x?

Answer: 6

x + 7 = 3x - 5. Rearranging: 7 + 5 = 3x - x, so 12 = 2x, therefore x = 6.

Read the extract: 'Mrs Dalloway said she would buy the flowers herself.' This opening line is from a famous novel. What does it reveal about the character?

Answer: She is decisive and independent

The emphasis on 'herself' suggests decisiveness and independence — she will do it personally rather than sending someone else.

A bus arrives every 12 minutes. The first bus arrives at 07:05. What time does the fourth bus arrive?

Answer: 07:41

First bus: 07:05. Second: 07:17. Third: 07:29. Fourth: 07:41. Each bus is 12 minutes after the previous one. Alternatively: 3 intervals × 12 = 36 minutes after 07:05 = 07:41.

Read the following text and answer the question. *To prepare for the cross-country race, Alisha knew she had to be methodical. She laid out her kit the night before: running shoes, shorts, and club vest. On the morning of the race, she ate a breakfast of porridge and a banana exactly two hours before the start. She then performed a series of dynamic stretches, just as her coach had instructed. Nothing was left to chance.* From the passage, what can you infer about Alisha's character?

Answer: She is disciplined and well-prepared.

The passage describes Alisha's actions in great detail: preparing her kit, timing her breakfast, and following her coach's instructions for stretching. The word 'methodical' and the phrase 'Nothing was left to chance' strongly imply that she is a very organised, disciplined, and well-prepared person.

Find the next number in this sequence: 3, 7, 11, 15, ...

Answer: 19

The pattern in this sequence is to add 4 to the previous number to get the next one. 3 + 4 = 7; 7 + 4 = 11; 11 + 4 = 15. Therefore, the next number is 15 + 4 = 19.

Identify the passive voice sentence:

Answer: The letter was posted yesterday.

'The letter was posted yesterday' is passive because the subject (letter) receives the action rather than performing it. The doer is not mentioned.

In a pattern, each figure has one more side than the previous. If Figure 1 is a triangle, what is Figure 6?

Answer: Octagon

Figure 1 = triangle (3 sides), Figure 2 = 4 sides, Figure 3 = 5, Figure 4 = 6, Figure 5 = 7, Figure 6 = 8 sides = octagon.

Choose the correct word to fill the blank: 'The children played in the ______ park.'

Answer: sunny

'Sunny' is an adjective that describes the noun 'park'; the other options are adverbs or a verb, which cannot describe a noun.

If the net below is folded into a cube, which of the four cubes would be the result?

Answer:

Let's analyse the orientation of the arrows. If we use the circle as the front face, the 'up' arrow will be on the top face, and the 'right' arrow will be on the right-hand face. This matches the view shown in cube A. Cube B is incorrect because the blank face is opposite the circle, so they could not be seen with the down and left arrows in that configuration. Cube C is incorrect because the 'up' arrow and 'down' arrow are on opposite faces in the net. Cube D is incorrect because the 'right' arrow and 'left' arrow are on opposite faces and cannot be seen together.

Consider a 2x2 grid with one square missing. The top-left square contains a large circle with a small triangle inside it. The top-right square contains just a large circle. The bottom-left square contains a large square with a small triangle inside it. Which of the options below correctly fills the missing bottom-right square?

Answer: A large square

The rule in this matrix operates from left to right. In the top row, the inner shape (the small triangle) is removed to leave only the outer shape (the large circle). Applying this same 'remove the inner shape' rule to the bottom row, the small triangle is removed from the large square, leaving just the large square.

A shop sells apples at 35p each. How much change would you get from £5 if you bought 12 apples?

Answer: £0.80

12 apples × 35p = £4.20. Change from £5: £5.00 - £4.20 = £0.80.

An L-shaped 3D object is made from four cubes in a line, with one additional cube placed on top of the second cube from the end. An arrow indicates you are looking at the object from the front. Which of the options correctly shows the view of the object from the right-hand side?

Answer: {"answer":"A single column of two cubes.","image":null}

The object is four cubes long and one cube deep. The maximum height is two cubes (at the position of the second cube from the end). When viewed from the right-hand side, you would see the end of the four-cube line (one cube) and the cube on top of it. This creates a single column that is two cubes high.