Intelligence Test

A broad free-text intelligence test covering reasoning, number, memory, spatial thinking, processing efficiency, knowledge, language, sound structure, retrieval and learning transfer.

Answer in your own words. Some questions may be timed or briefly show information to remember. Do not use a calculator, search engine or outside help.

All 30 questions contribute to the intelligence score. The same answers are also scored against the personality dualities in the background.

Question 1 of 30

All merals are naves. No naves are torps. Some lins are merals. What must be true about those lins? Explain briefly.

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Question 2 of 30

Four couriers A, B, C and D must each take one position from first to fourth. A must be before B. C cannot be first. D must be immediately after C. List every valid order.

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Question 3 of 30

A machine is on if and only if both the blue key is inserted and the safety gate is closed. You see the machine is on. What can you conclude? Later the machine is off while the blue key is definitely inserted. What can you conclude then?

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Question 4 of 30

Three identical printers can print three posters in six minutes. At the same rate, how long would six identical printers take to print twelve posters? Explain your reasoning.

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Question 5 of 30

A bag contains 4 red, 3 blue and 3 green counters. Two are drawn without replacement. What is the probability that both counters are the same colour? Give the fraction and show enough reasoning to check it.

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Question 6 of 30

You travel 60 miles to a place at 30 mph and return over the same 60 miles at 60 mph. What is your average speed for the whole journey? Explain.

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Question 7 of 30

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Question 10 of 30

Start facing north at a point. Turn right and walk 3 metres. Turn left and walk 2 metres. Turn left and walk 1 metre. Where are you relative to the starting point, and which direction are you facing?

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Question 11 of 30

A cube starts with A on top, D on bottom, B on the front, E on the back, C on the right and F on the left. Roll it forward so the top face moves to the front. Then roll it right so the top face moves to the right. Which face is now on top, and which face is on the front?

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Question 12 of 30

A triangle has points (0,0), (2,0) and (0,1). Rotate the whole triangle 90° clockwise around (0,0). What are the three new coordinates?

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Question 16 of 30

A metal spoon and a wooden spoon have been in the same room all night, so they are effectively the same temperature. Why does the metal spoon usually feel colder when you touch it?

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Question 17 of 30

What is the main reason Earth has seasons? Explain why the two hemispheres have opposite seasons.

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Question 18 of 30

Why can a medicine that kills bacteria be useless against influenza, even if the person is very ill?

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Question 19 of 30

After a town library began staying open until 9pm, total visits rose 20%. Book loans stayed unchanged, while evening computer sessions doubled. A newspaper wrote: “Longer hours made residents read more books.” What does the evidence support, and what does it not support?

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Question 20 of 30

The sentence “The manager told the assistant that she would present the report” has two possible meanings. State both meanings, then rewrite the sentence once for each meaning so it is unambiguous.

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Question 21 of 30

Summarise this in one sentence without losing the main trade-off: “A city planted trees on three unusually hot streets. Summer surface temperatures there fell more than on comparable treeless streets, but the trees also removed some parking spaces. The council argues that planting should expand in the hottest areas even where parking is reduced.”

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Question 22 of 30

Say the word “plane” without its first sound /p/. What word remains?

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Question 23 of 30

Which one does not rhyme with the other three in ordinary English pronunciation: coast, most, lost, ghost?

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Question 24 of 30

Count speech sounds rather than letters. How many separate sounds are in each word: “ship”, “think”, and “box”?

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Question 28 of 30

Learn this new operation: VEX(a,b) = 2a + b. What is VEX(VEX(3,4),2)? Show the two steps.

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Question 29 of 30

Learn this invented category rule: a “lume” is a four-letter string whose first and fourth letters are the same, while its two middle letters are different from each other. Which of these are lumes: ABCA, ABBA, AXXA, MNRM, TOOT, ZQWZ? Explain just enough to show the rule you used.

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Question 30 of 30

Learn these rules for a tiny invented language. Word order is subject–verb–object. An adjective comes after its noun. Plural nouns add “-im”. Past-tense verbs add “ta-”. Vocabulary: mi = I, vak = see, dom = house, sel = red. Translate: “I saw the red houses.”

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Intelligence Test

All merals are naves. No naves are torps. Some lins are merals. What must be true about those lins? Explain briefly.

Four couriers A, B, C and D must each take one position from first to fourth. A must be before B. C cannot be first. D must be immediately after C. List every valid order.

A machine is on if and only if both the blue key is inserted and the safety gate is closed. You see the machine is on. What can you conclude? Later the machine is off while the blue key is definitely inserted. What can you conclude then?

Three identical printers can print three posters in six minutes. At the same rate, how long would six identical printers take to print twelve posters? Explain your reasoning.

A bag contains 4 red, 3 blue and 3 green counters. Two are drawn without replacement. What is the probability that both counters are the same colour? Give the fraction and show enough reasoning to check it.

You travel 60 miles to a place at 30 mph and return over the same 60 miles at 60 mph. What is your average speed for the whole journey? Explain.

Write the four numbers in ascending order, then write the four words in reverse order of appearance.

Who had silver, what colour belonged to Theo, and what are the first letters of the five names in their original order?

What was the code, which door opens later, and whose folder was blue?

Start facing north at a point. Turn right and walk 3 metres. Turn left and walk 2 metres. Turn left and walk 1 metre. Where are you relative to the starting point, and which direction are you facing?

A cube starts with A on top, D on bottom, B on the front, E on the back, C on the right and F on the left. Roll it forward so the top face moves to the front. Then roll it right so the top face moves to the right. Which face is now on top, and which face is on the front?

A triangle has points (0,0), (2,0) and (0,1). Rotate the whole triangle 90° clockwise around (0,0). What are the three new coordinates?

Using A=4, B=1, C=7, D=2, E=9, F=5, convert these six groups into digit groups in order: C A F / B E D / D C A / F B E / A D C / E F B

For each number, double it and then subtract 3. Give the ten answers in order: 7, 12, 4, 19, 8, 15, 6, 11, 20, 5

The rule is “second number = first number × 2 + 1”. For each pair write Y if it follows the rule and N if it does not: 3→7, 4→10, 8→17, 6→13, 11→22, 5→11, 9→19, 2→6, 12→25, 7→14

A metal spoon and a wooden spoon have been in the same room all night, so they are effectively the same temperature. Why does the metal spoon usually feel colder when you touch it?

What is the main reason Earth has seasons? Explain why the two hemispheres have opposite seasons.

Why can a medicine that kills bacteria be useless against influenza, even if the person is very ill?

After a town library began staying open until 9pm, total visits rose 20%. Book loans stayed unchanged, while evening computer sessions doubled. A newspaper wrote: “Longer hours made residents read more books.” What does the evidence support, and what does it not support?

The sentence “The manager told the assistant that she would present the report” has two possible meanings. State both meanings, then rewrite the sentence once for each meaning so it is unambiguous.

Say the word “plane” without its first sound /p/. What word remains?

Which one does not rhyme with the other three in ordinary English pronunciation: coast, most, lost, ghost?

Count speech sounds rather than letters. How many separate sounds are in each word: “ship”, “think”, and “box”?

List as many different animals as you can, but none may begin with S or C. Separate them with commas.

List as many genuinely different practical uses for a paper clip as you can. Short phrases are enough; do not repeat the same basic use in different words.

List as many different English words as you can that mean or strongly imply movement or change. Do not use multiple forms of the same root. Separate them with commas.

Learn this new operation: VEX(a,b) = 2a + b. What is VEX(VEX(3,4),2)? Show the two steps.

Learn this invented category rule: a “lume” is a four-letter string whose first and fourth letters are the same, while its two middle letters are different from each other. Which of these are lumes: ABCA, ABBA, AXXA, MNRM, TOOT, ZQWZ? Explain just enough to show the rule you used.

Learn these rules for a tiny invented language. Word order is subject–verb–object. An adjective comes after its noun. Plural nouns add “-im”. Past-tense verbs add “ta-”. Vocabulary: mi = I, vak = see, dom = house, sel = red. Translate: “I saw the red houses.”