SAMPLE PAPER
SECTION I : LOGICAL REASONING 1.
Three different positions of a triangle are given. Which of the following options describe d escribe its positions? (A) (A) Rotation, then reflection (B) Reflection, then then translation (C) Reflection, then rotation (D) (D) None of these
2.
In the given given diagram, the girls who are are
10
athletic are indicated by which number ?
7
6
(A) 1
Boys
5 4
(B) 3
3
2 1
(C) 4
Girls 9
8
(D) 6 3.
Athletic
Disciplined
How many circles will there there be in Pattern 20?
4.
(A) 41
(B) 42
(C) 43
(D) 44
Pattern 1
Pattern 2
Pattern 3
Raspberries cost more than Blueberries. Blueberries cost more than Strawberries. Raspberries cost more than both Strawberries and Blueberries. If the first two statements are true, the third statement is _______ (A) (A) True
5.
(C) (C) Uncertain
Which number completes the puzzle? (A) 121
6.
(B) (B) False
25
(B) 400
36
49
(D) (D) None of these 64 64
(C) 92
81 81
?
(D) 100
The water in Neha's watering bucket is boiling. What would most likely be the temperature of the water ? (A) 0°C
7.
(B) (B) 100°C
(C) 4°C
(D) 2°C Bug kits
The given table shows that for science class, Mohit is ordering kits that contain bugs.
Number of kits
3
4
5
6
7
Based on the data in the table, what will
Total number of bugs
18
24
30
36
?
be the total number of bugs in 7 kits ? (A) 48
(B) 38
(C) 40
(D) 42 2
8.
Geeta put put a CD in the the CD player and pressed play. play. Golden
When she put the CD in, it looked like the picture shown here. After the song ended, Geeta opened the CD player and the CD looked like
Oldies
it had rotated (turned) 90° clockwise. Which figure given below shows the CD after it rotated (turned) 90° clockwise ? Golden
s e i d O l
(A)
(B)
9.
?
(C) Oldies
n e d l o G
G o l d e n
O l d i e s
G o l d e n
O l d i e s
(D)
× 43 – 43 = 43 × 43 + 12 × 43
The missing number in the box is _______? (A) 12
(B) 54
(C) 56
(D) 98
10. Shreya has a piece of ribbon which is 2 times as long as Sasha’s ribbon. If Sasha’s ribbon is 8.4 m long, how much longer is Shreya’s ribbon ? (A) (A) 11.6 m
(B) (B) 16.8 m
(C) (C) 17.8 m
(D) (D) 14.4 m
11. Which digit will appear on the face opposite to the face with number 1 ? (A) 3
(B) 5
(C) 6
(D) 1
6
2 1
3
2
3
12. Which one will replace the question mark ? (A) (B) (C) (D)
18 5 9 6
147 3 116
312 6 153
531 ? 276
789
2790
4035
13. If "ICECREAM" is coded as "CICEERMA' then "CHOCOLATES" will be coded as (A) (A) OHCLOCETAS
(B) (B) HCCOLOTASE
(C) (C) COHOCALTES
(D) (D) OCOHCTLASE
14. How many meaningful words can be formed using the letters A, R and T ? (A) 3
(B) 4
(C) 5
15. Which point is south-east of A ?
(D) 2 E D
(A) C (B) B
G
A
F
B
(C) D (D) E
3
C
N
16. What would would be the the cost of 2 litres of icecream, 2 packet of chips and 2 boxes of fruit drinks ? (A)
0 4
` 300
(B)
`
580 100
(C)
`
250
(D)
`
1 0
480
17. Count the number of triangles in the given figure. (A) 12
(B) 20
(C) 18
(D) 16
18. What kind of triangles will be obtained if a line segment is drawn connecting points A
and
on C
(A) (A) Isosceles
the rectangle shown ? (B) (B) Rotated
(C) (C) Scalane
A
D
B
C
(D) (D) Obtuse
19. Kabir will pick one tile from a box without looking. From which of the following boxes is he certain not to pick a tile with a “J” on it?
(A)
J
B
J
B
J
B
(B)
J
J
J
J
J
J
(C)
B
B
B
B
B
B
(D)
J
J
J
J B
20. Look at this pattern. Which of the following flowers will complete t he given pattern? pattern?
(A)
(B)
(C)
(D)
SECTION II : MA MATHEMA THEMATICAL TICAL REASONING 21. What should be the number in the START box ? START
(A) (A) 2025 22. Point
is P
– 18 =
÷ 25
(B) 640
63
(C) (C) 1120
(D) (D) 207360
the centre of the circular target shown in the picture.
Q
Which of the following appears to be the radius of the circle ? (A) PQ
(B) SQ
(C) PR
(D) (D) Both (A) and (C) 4
P R S
23. Which given figure(s) does/do not have a line of symmetry ? (A) (A) P only
(B) (B) Q only
(C) (C) R and S
(D) (D) P and Q
(P)
(Q)
(R)
(S)
24. Charu cuts each piece of paper shown along the dotted line. Which of the following are the shapes of the four pieces? (A) (A) Circles
(B) (B) Triangles
(C) (C) Pentagons
(D) (D) Hexagons
Paper 1 Paper 2
25. Look at the number line. Between which shapes is
4 5
0
lying?
1 4
(A) Between
and
(B) Between
(C) Between
and
(D) Between
1 2
3 4
1
1 1 4
and and
26. Ms. Pallavi recorded the time in which her 15 students completed a set of math problems. Time in seconds : 32 38 59 43 52 46 49 50 35 58 57 53 33 46 47 Then she presented the record as shown below. Number of students Time in seconds 30-39 40-49 50-59 ? How many tally marks should Ms. Pallavi write in the row for 50-59 seconds ? (A)
(B)
(C)
(D)
27. Prerna gave 12 sets of books to Aarav. Each set has 14 books. What is the total number of books Aarav has? (A) 140
(B) 148
(C) 168
(D) 288
28. 2 hrs before 10:30 am is ______ . (A) (A) 9:30 am
(B) (B) 12:30 am
(C)1:00 (C) 1:00 am
(D) (D) 8:30 am
29. How many of the following numbers are multiples of both 9 and 12 ? 18, 27, 60, 72, 96, 144 (A) 1
(B) 2
(C) 3
(D) 4
30. Which geometric figure has atleast one triangular face ? (A) (A) Cube
(B) (B) Cone
(C) (C) Cylinder
5
(D) (D) Sphere
31. Tanya Tanya put one “S” “S” on the calendar to show the date of her first basket ball game in January. Tanya's second basket ball game is exactly 15 days later. What is the date of her second basket ball game?
January S
M
T
W
T
F
S 1
2
3
4
5
S6
7
8
(A) 20
9
10
11
12
13
14
15
(B) 23
16
17
18
19
20
21
22
(C) 22
23
24
25
26
27
28
29
(D) 21
30
31
A
32. Which line in the diagram below is the correct line of symmetry symmetry ?
G
E
(A) AB (B) CD
C
D
(C) EF H
(D) GH
F B
33. Fill the correct symbol in the box. 5,760 (A) >
24
1,892 + 898
(B) <
(C) =
(D)
³
34. Find the area of the unshaded part of the figure?
12 cm 2 cm
(A) (A) 22 cm2
2 cm
2
(B) (B) 12 cm
4 cm
7 cm 5 cm
(C) (C) 70 cm2
1 cm
2 cm
(D) (D) 10 cm2 35. What is 6050.287 rounded to the nearest hundredth? (A) (A) 6050
(B) (B) 6100
(C) (C) 6050.29
(D) (D) 6050.3
36. A shopkeeper mixed 4.8 kg of hazelnuts with 0.48 kg of raisins. He packed the mixture equally into 4 boxes. What is the weight of each box ? (A) (A) 1.32 kg
(B) (B) 1.35 kg
(C) (C) 0.87 kg
(D) (D) 0.72 kg
37. What is the missing value in the given expression ? 58, 394 – 86 – 86 = ____ 86 (A) 677
(B) 678
(C) 680
(D) 681
38. Which point on the number line best represents 2.35 ? (A) (C)
–4
–3 –2
–1
0
1
2
3
4
–4
–3 –2
–1
0
1
2
3
4
(B) (D) 6
–4
–3 –2
–1
0
1
2
3
4
–4
–3 –2
–1
0
1
2
3
4
39. Raghav is making a maths puzzle. He writes that ‘ w ’ is an even number which has both 12 and 14 as a factor. Which of the following could represent the variable ‘ w ’? ’? (A) (A) 2156
(B) (B) 1729
(C) (C) 1428
(D) (D) 1256
(C) 36
(D) 84
40. What number am I ? • I am a two-digi two- digitt even number. • I am a common multiple of 6 and 7. • I have a total of 12 factors. (A) 35
(B) 42
SECTION SECT ION III : EVERYDAY MA MATHEM THEMA ATICS 41. A car can travel 400 km on 40 litres of petrol. How far can the car travel if it has 50 litres of petrol in its petrol tank ? (A) (A) 360 km
(B) (B) 189 km
42. Rehana drank
5
(C) (C) 525 km 1
glass of lemonade. If the 16 3 glasses held the same amount of lemonade, how much more lemonade did Ritika drink than Rehana ? (A)
5
glass of lemonade. Ritika drank
(D) (D) 500 km
(B)
48
1
(C)
48
7 48
(D)
1 2
43. There are 9 rows of seats in a theatre. Each row has the same number of seats. If there is a total of 153 seats, how many seats are in each row ? (A) 17 44. A beaker is
(B) 18
(C) 19
(D) 20
4
filled with water. Another 12 litres of water is needed to fill the beaker 7 to its brim. What is the capacity of the beaker ?
(A) (A) 50 litres
(B) (B) 28 litres
(C) (C) 42 litres
(D) (D) 35 litres
45. The sound of an aeroplane taking off is about 3.2 times louder than a person shouting. What is the decibel level of an aeroplane taking off, if the decibel level of a person shouting is 68.4 ? (A) (A) 141.8
(B) 220
(C) 200
(D) (D) 218.8
46. There are 1482 birdhouses made at a factory each hour. What is the total number of birdhouses made at the factory in 16 hours ? (A) (A) 12372
(B) (B) 21372
(C) (C) 23712
(D) (D) 23172
47. The temperature of water in a swimming pool is 53°F. Since the freezing point of water is 32°F, how many degrees would the temperature of the water have to drop to reach the freezing point ? (A) 9°F
(B) (B) 21°F
(C) (C) 20°F 7
(D) (D) 19°F
48. Arjun’s Arjun’s snack shop sells small, medium and large sodas. Yesterday Yesterday,, they sold 5 large sodas and 11 more medium sodas than large sodas. Arjun’s snack shop also sold 12 small sodas yesterday. How many total sodas did Arjun’s snack shop sell yesterday? (A) 31
(B) 13
(C) 22
(D) 33
49. Abhilasha made cake for a party. She put the cake into the oven at half past four and took it out thirty minutes later. What time was it when Abhilasha took out the cake? (A) Five past eight
(B) (B) Five o’clock
(C) (C) Five to five
(D) (D) Five past four
50. Every week Suhana saves ` 100 on Monday and ` 200 on Friday but spends ` 150 on Sunday. If this is her total weekly savings, how many weeks would she take to save enough to buy a ` 2100 mobile phone? (A) (A) 52 weeks
(B) (B) 46 weeks
(C) (C) 7 weeks
SPACE FOR ROUGH WORK
8
(D) (D) 14 weeks
ANSWER KEYS
1.
(B)
2.
(C)
3.
(A)
4.
(A)
5.
(D)
6.
(B)
7.
(D)
8.
(C)
9.
(C)
10.
(B)
11.
(C)
12.
(B)
13.
(B)
14.
(A)
15.
(A)
16.
(A)
17.
(D)
18.
(C)
19.
(C)
20.
(B)
21.
(A)
22.
(D)
23.
(D)
24.
(B)
25.
(C)
26.
(A)
27.
(C)
28.
(D)
29.
(B)
30.
(B)
31.
(C)
32.
(D)
33.
(B)
34.
(C)
35.
(C)
36.
(A)
37.
(A)
38.
(C)
39.
(C)
40.
(D)
41.
(D)
42.
(B)
43.
(A)
44.
(B)
45.
(D)
46.
(C)
47.
(B)
48.
(D)
49.
(B)
50.
(D)
