CogAT Practice Pack — Grade 7

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

Name: ______________________Date: ______________Score: _____ / 20

1.The teacher asked the students to work in _____ to complete the project.
(A)rows
(B)teams
(C)circles
(D)lines
(E)pairs
2.Find the missing number: 12 → 144 ; 11 → 121 ; 2 → ___
(A)0
(B)3
(C)8
(D)4
3.What number comes next? 3, 6, 10, 15, ___
(A)20
(B)24
(C)19
(D)21
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 the top down, then 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.Which word belongs with 'sonata', 'symphony', and 'concerto'?
(A)Rhapsody
(B)Overture
(C)Opera
(D)Ballet
(E)Musical
7.If 5 * ? = 35, then what is the value of ?
(A)8
(B)5
(C)6
(D)9
(E)7
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: FINGER is to HAND as LEAF is to ___
(A)bird
(B)comb
(C)car
(D)plant
10.The _____ of the city is famous for its historic landmarks.
(A)center
(B)library
(C)zoo
(D)museum
(E)park
11.Find the missing number: 11 → 33 ; 8 → 24 ; 2 → ___
(A)10
(B)6
(C)8
(D)4
12.What number comes next? 2, 6, 18, 54, ___
(A)162
(B)163
(C)160
(D)161
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 top down, 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.Which word belongs with 'mercury', 'venus', and 'earth'?
(A)Saturn
(B)Uranus
(C)Pluto
(D)Jupiter
(E)Mars
16.A bakery is having a sale on bread. If a loaf of bread normally costs $2 and is on sale for 15% off, how much will you pay for a loaf of bread during the sale?
(A)$1.50
(B)$1.70
(C)$1.85
(D)$2.15
(E)$2.00
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: LEAF is to PLANT as ROOM is to ___
(A)house
(B)comb
(C)hand
(D)flower
19.The company's _____ department is responsible for creating new products.
(A)accounting
(B)marketing
(C)development
(D)sales
(E)research
20.Find the missing number: 6 → 36 ; 11 → 121 ; 4 → ___
(A)20
(B)16
(C)13
(D)12

Answer Key — CogAT Grade 7

1. B — The sentence suggests collaboration, and 'teams' is the most suitable option for group work.
2. D — Each number is squared. 2 × 2 = 4.
3. D — The amount added grows by 1 each step. Adding 6 to 15 gives 21.
4. C — In the top row, the figure's fill darkens one step and the figure doubles. Applying the same change to the bottom figure gives C. The others each make a specific mistake: A applies a different rule than the top row shows; B applies only one of the two changes; D the bottom figure with no rule applied; E right change, wrong figure shape.
5. D — Unfold the paper step by step, mirroring every hole across each crease in reverse order. 3 punches through 4 layers leaves 12 holes. The other sheets each draw a specific mistake: A one hole drifted off its mirrored position; B doubled the count without the on-crease merge; C treated the mirror as a slide — hole positions right, orientation never flips; E mirrored across the wrong axis.
6. A — All four options are types of musical compositions, but 'rhapsody' is the one that belongs with 'sonata', 'symphony', and 'concerto' because they are all classical music forms.
7. E — To solve for ?, we need to divide both sides of the equation by 5. So, ? = 35 / 5 = 7.
8. D — What the three figures share: every figure has a dot above it. D shares it too. The others don't: A repeats an exemplar's shape but breaks the shared property; B the dot sits below instead of above; C no dot above it; E solid black instead of the shared property.
9. D — The relationship is "part to its whole." finger → hand, so leaf → plant.
10. A — The sentence implies a central location, and 'center' is the most logical option for a city's historic area.
11. B — Each number is multiplied by 3. 2 × 3 = 6.
12. A — Each number is multiplied by 3. 54 × 3 = 162.
13. A — In the top row, a smaller copy appears inside and the figure's fill darkens one step. Applying the same change to the bottom figure gives A. The others each make a specific mistake: B the bottom figure with no rule applied; C applies only one of the two changes; D applies the change twice; E applies a different rule than the top row shows.
14. B — Unfold the paper step by step, mirroring every hole across each crease in reverse order. 3 punches through 4 layers leaves 12 holes. The other sheets each draw a specific mistake: A doubled the count without the on-crease merge; C mirrored across the wrong axis; D one hole drifted off its mirrored position; E treated the mirror as a slide — hole positions right, orientation never flips.
15. E — All five options are planets, but 'Mars' is the one that belongs with 'mercury', 'venus', and 'earth' because they are all planets in our solar system that are closest to the sun.
16. B — To find the discount, we need to calculate 15% of $2, which is 0.15 * $2 = $0.30. Then, subtract the discount from the original price: $2 - $0.30 = $1.70.
17. E — What the three figures share: every figure is an outline (unfilled). E shares it too. The others don't: A does not share the property; B matches the shapes but not the shared fill; C solid black instead of the shared property; D repeats an exemplar's shape but breaks the shared property.
18. A — The relationship is "part to its whole." leaf → plant, so room → house.
19. C — The sentence implies innovation, and 'development' is the most suitable option for creating new products.
20. B — Each number is squared. 4 × 4 = 16.

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