CogAT Practice Pack — Grade 2

20 original CogAT-style questions · Answer key on the last page · iprepgenius.com/printables

Name: ______________________Date: ______________Score: _____ / 20

1.Choose the word that best completes the sentence. The box looked small, but it was so ______ that two people had to carry it.
(A)light
(B)brown
(C)open
(D)heavy
2.Find the missing number: 9 → 12 ; 4 → 7 ; 2 → ___
(A)8
(B)7
(C)5
(D)1
3.What number comes next? 1, 4, 9, 16, ___
(A)27
(B)22
(C)28
(D)25
4.
Look at how the first figure changes into the second. Which answer changes the bottom figure the same way?
(A)
(B)
(C)
(D)
(E)
5.
The square paper is folded in half from right to left, and holes are punched through all layers. Which answer shows the paper unfolded?
(A)
(B)
(C)
(D)
(E)
6.The three words below are alike in some way. Choose the word that belongs with them. violin guitar harp
(A)banjo
(B)trumpet
(C)drum
(D)flute
7.
The two sides must have the same number of shapes. How many shapes belong in the empty box?
(A)
(B)
(C)
8.
The three figures below are alike in one way. Which answer figure belongs with them?
(A)
(B)
(C)
(D)
(E)
9.Complete the analogy: DOG is to KENNEL as HORSE is to ___
(A)stable
(B)aquarium
(C)colony
(D)burrow
10.Choose the word that best completes the sentence. The ice cream ______ in the hot sun, so Mia ate it fast.
(A)cooled
(B)melted
(C)grew
(D)froze
11.Find the missing number: 5 → 10 ; 6 → 11 ; 11 → ___
(A)12
(B)14
(C)17
(D)16
12.What number comes next? 36, 30, 24, 18, ___
(A)8
(B)15
(C)12
(D)13
13.
Look at how the first figure changes into the second. Which answer changes the bottom figure the same way?
(A)
(B)
(C)
(D)
(E)
14.
The square paper is folded in half from the bottom up, then in half from left to right, and holes are punched through all layers. Which answer shows the paper unfolded?
(A)
(B)
(C)
(D)
(E)
15.The three words below are alike in some way. Choose the word that belongs with them. inch foot mile
(A)pound
(B)yard
(C)hour
(D)cup
16.
The two sides must have the same number of shapes. How many shapes belong in the empty box?
(A)
(B)
(C)
17.
The three figures below are alike in one way. Which answer figure belongs with them?
(A)
(B)
(C)
(D)
(E)
18.Complete the analogy: KITTEN is to CAT as LAMB is to ___
(A)pig
(B)kangaroo
(C)sheep
(D)bear
19.Choose the word that best completes the sentence. The room was so ______ that we could not find the light switch.
(A)quiet
(B)big
(C)warm
(D)dark
20.Find the missing number: 6 → 3 ; 22 → 11 ; 4 → ___
(A)5
(B)2
(C)3
(D)1

Answer Key — CogAT Grade 2

1. D — Two people carry something heavy. A light box would be easy to carry.
2. C — Each number increases by 3. 2 + 3 = 5.
3. D — These are square numbers: 1², 2², … Next is 5² = 25.
4. B — In the top row, the figure doubles. Applying the same change to the bottom figure gives B. The others each make a specific mistake: A copies the top row's result instead of transforming the bottom figure; C applies a different rule than the top row shows; D the bottom figure with no rule applied; E right change, wrong figure shape.
5. C — Unfold the paper step by step, mirroring every hole across each crease in reverse order. 1 punch through 2 layers leaves 2 holes. The other sheets each draw a specific mistake: A shows only the punched folded sheet — never unfolded the paper; B doubled the count without the on-crease merge; D one hole drifted off its mirrored position; E unfolded correctly but flipped the whole sheet.
6. A — All three have strings, and so does a banjo.
7. B — 2 + 3 = 5, so the empty box needs 3 shapes. The others: A counts the whole right side instead of the missing part; C one too many.
8. A — What the three figures share: all figures are the same shape. A shares it too. The others don't: B a different shape from the shared one; C does not share the property; D does not share the property; E does not share the property.
9. A — The relationship is "animal to its home." dog → kennel, so horse → stable.
10. B — Ice cream melts in the sun. Froze and cooled are the opposite.
11. D — Each number increases by 5. 11 + 5 = 16.
12. C — The pattern subtracts 6 each time. 18 − 6 = 12.
13. B — In the top row, a smaller copy appears inside. Applying the same change to the bottom figure gives B. The others each make a specific mistake: A applies a different rule than the top row shows; C the bottom figure with no rule applied; D right change, wrong figure shape; E copies the top row's result instead of transforming the bottom figure.
14. E — Unfold the paper step by step, mirroring every hole across each crease in reverse order. 2 punches through 4 layers leaves 8 holes. The other sheets each draw a specific mistake: A doubled the count without the on-crease merge; B shows only the punched folded sheet — never unfolded the paper; C hole positions shifted; D mirrored across the wrong axis.
15. B — All three measure how long something is, and so does a yard.
16. B — 5 + 1 = 6, so the empty box needs 1 shape. The others: A one too many; C counts the whole right side instead of the missing part.
17. E — What the three figures share: every figure has a dot above it. E shares it too. The others don't: A no dot above it; B the dot sits below instead of above; C repeats an exemplar's shape but breaks the shared property; D solid black instead of the shared property.
18. C — The relationship is "young animal to its adult." kitten → cat, so lamb → sheep.
19. D — You cannot find a switch when it is dark.
20. B — Each number is halved (÷2). 4 ÷ 2 = 2.

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