Free Printable Junior Compilation

1.

Which of the following is smallest?

a)

0.405

b)

45%

c)

0.045

d)

9/20

e)

45/100

2.

At a very large wedding there are 4261 guests all to be seated at round tables, each with nine seats. If all the tables are full except one, how many guests are on the table without nine?

a)

0

b)

1

c)

2

d)

3

e)

4

3.

When using Vertically and crosswise to calculate 234 x 614, what is the result of the third step before any carry digits have been added?

a)

A 8

b)

B 13

c)

C 24

d)

D 35

e)

E 36

4.

What is the whole number remainder when 247647 is divided by 11?

a)

A 4

b)

B 5

c)

C 6

d)

D 7

e)

E 8

5.

Which operation gives a quick method for multiplying numbers by 5?

a)

Halve the number and multiply by 10

b)

Double the number and divide by 10

c)

Halve the number and divide by ten

d)

Double the number and multiply by 10

e)

None of these

6.

What is the digital root of the product of the digital roots in the calculation 35 x 31?

a)

A 1

b)

B 2

c)

C 3

d)

D 4

e)

E 5

7.

When digits of 29847 greater than 5 are replaced with vinculum digits, which of the following is correct?

a)

$30\overline{2}5\overline{2}$

b)

$40\overline{2}6\overline{3}$

c)

$30\overline{2}5\overline{3}$

d)

$30\overline{1}5\overline{2}$

e)

$3\overline{12}5\overline{3}$

8.

Find the correct devinculated version of 35031̅24̅

a)

3496076

b)

3407075

c)

3486095

d)

3407276

e)

3497076

9.

What is half of a quarter of an eighth of double sixty-four?

a)

A 2

b)

B 4

c)

C 8

d)

D 16

e)

E 32

10.

What is the Highest Common Factor of 315 and 1050?

a)

3

b)

5

c)

21

d)

35

e)

105

11.

What is the Lowest Common Multiple of 315 and 1050?

a)

A 315

b)

B 1050

c)

C 2205

d)

D 3150

e)

E 6915

12.

The difference between 1/3 of a certain number and 1/9 of the same number is 8. What is that number?

a)

A 18

b)

B 24

c)

C 27

d)

D 36

e)

E 72

13.

Which of the following is exactly divisible by 9?

a)

3636363636361

b)

2342342342347

c)

99999999993

d)

81818181818181

e)

45454572728

14.

One of the following shows the correct working for 864 × 997 using Nikhilam multiplication. Which one?

a)

A

b)

B

c)

C

d)

D

e)

E

15.

A bottling factory produces 19,866 bottles in 42 hours. In using straight division to find how many bottles are produced each hour, what is the second to last step?

a)

A (38 - 26) ÷ 4

b)

B (26 - 14) ÷ 4

c)

C (32 - 20) ÷ 4

d)

D (14 - 2) ÷ 4

e)

E (86 - 74) ÷ 4

16.

Calculate, $4\overline{1}\times7\overline{2}$

a)

2546

b)

2562

c)

2652

d)

2752

e)

2952

17.

The product of two prime numbers is 2021, which can be worked out using the rule, When the final digits add to 10. What are the two prime numbers?

a)

A 79 × 61

b)

B 83 × 17

c)

C 37 × 23

d)

D 53 × 67

e)

E 43 × 47

18.

In calculating 0.00000035², Ramesh wrote the incorrect answer as 0.0000001225. How many zeros should there be between the decimal point and the digits 1225?

a)

A 4

b)

B 8

c)

C 10

d)

D 12

e)

E 18

19.

When using Nikhilam division to calculate 12032÷879, which of the following has the correct working?

a)

A

b)

B

c)

C

d)

D

e)

E

20.

Each shape stands for a number. What is the value of the triangle?

a)

8

b)

9

c)

10

d)

11

e)

12

21.

On the circle of nine points, if lines are drawn joining pairs of numbers that sum to a multiple of 3, how many lines will there be?

a)

12

b)

11

c)

10

d)

9

e)

8

22.

On a digital clock the ten digits are made up using horizontal and vertical bars. How many of these digits have a prime number of bars and are also prime numbers?

a)

1

b)

2

c)

3

d)

4

e)

5

23.

What is the decimal equivalent of 101/125?

a)

0.8

b)

0.88

c)

0.088

d)

0.808

e)

0.888

24.

How many lines of symmetry does a regular dodecagon have?

a)

A 8

b)

B 12

c)

C 16

d)

D 24

e)

E 36

25.

What is the total area of the shaded regions in cm²?

a)

A 28

b)

B 35

c)

C 70

d)

D 42

e)

E Not enough information

26.

A conference hall has 51 rows, each with 53 seats. If 2700 people attend the conference, how many spare seats will there be?

a)

A 3

b)

B 13

c)

C 23

d)

D 33

e)

E 43

27.

There are 100 students in a class. Exactly 99% of them have their books. How many students with books must leave the room to bring down the percentage with books to 98%?

a)

A 1

b)

B 2

c)

C 10

d)

D 49

e)

E 50

28.

A waiter’s pay consists of tips and a salary. During one month, his tips were 5/4 of his salary. What fraction of his pay came from tips?

a)

4/9

b)

5/9

c)

4/5

d)

9/5

e)

9/4

29.

Harry the hedgehog was timed walking from one end of the garden to the other. He covered 11 metres in 19.6 seconds. Approximately, how fast is this in km per hour?

a)

0.5

b)

1

c)

2

d)

4

e)

8

30.

The perimeter of a right-angled triangle is 72 cm. The lengths of the sides are in the ratio 3 : 4 : 5. What is the area of the triangle in cm²?

a)

A 144

b)

B 216

c)

C 270

d)

D 360

e)

E 1620

31.

What is the value of, (3 + 6 + 9 + 12 + 15 + 18 + 21 + 24 + 27) / (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9)?

a)

A 3

b)

B 9

c)

C 27

d)

D 81

e)

E 243

32.

What fraction of the square is shaded?

a)

1/4

b)

3/8

c)

3/16

d)

5/16

e)

7/16

33.

The cross in the diagram has one vertical line of symmetry. All measurements are in centimetres. What is the perimeter?

a)

A 24.4

b)

B 45.2

c)

C 52

d)

D 60

e)

E 76

34.

The large square in the figure has edge length 96 cm. The smaller square is formed by joining the midpoints of the sides of the large square. What is the area of the small square in cm²?

a)

4804

b)

4406

c)

4468

d)

4408

e)

4608

35.

Which fraction is the smallest?

a)

1/2000000008

b)

2/4000000015

c)

4/8000000036

d)

8/1600000056

e)

2/4000000017

36.

What is the sum of the first ten odd numbers?

a)

20

b)

50

c)

55

d)

100

e)

144

37.

Find the value of x in the equation, (2x+1)/3 - (x-2)/2 = 3

a)

A 7

b)

B 10

c)

C 12

d)

D 13

e)

E 17

38.

The first five terms of a sequence are 0 3 8 15 24. What is the 98th term?

a)

9409

b)

9506

c)

9603

d)

9605

e)

9801

39.

A newspaper company reduced its print run by 12% to 38,720 copies per day. What was the print-run before the decrease?

a)

40,000

b)

42,000

c)

44,000

d)

46,000

e)

48,000

40.

If it takes 8 bricklayers 12 days to build a particular wall, how long will it take 6 bricklayers, working at the same rate?

a)

14

b)

15

c)

16

d)

18

e)

20

41.

In the figure, PQ = QR and PS = PR. Angle PQS = 50°. What is the size of angle QPS?

a)

A 15°

b)

B 20°

c)

C 25°

d)

D 30°

e)

E 35°

42.

Which of the following is divisible by all of the integers from 1 to 10, inclusive?

a)

23×34

b)

34×45

c)

45×56

d)

56×67

e)

67×78

43.

In a knock-out tennis competition, each match has a winner and a loser and a winner goes through to the next round. Rounds continue until there are two players left in the final. In the women’s singles at Wimbledon there are 128 players at the start. How many matches are there altogether?

a)

256

b)

129

c)

128

d)

127

e)

64

44.

A nine-digit number is randomly composed using the digits from 1 to 9. What is the probability that it is divisible by 18?

a)

1/3

b)

4/9

c)

1/2

d)

3/4

e)

5/9

45.

A cube with edge length 6 cm has its 8 corners cut away. Each cut is in the shape of a cube of edge length 1 cm. What is the surface area of the remaining shape in cm²?

a)

192

b)

216

c)

228

d)

256

e)

320

46.

How many two-digit numbers can be written as the sum of six different powers of 2, including 2⁰?

a)

0

b)

1

c)

2

d)

3

e)

4

47.

Four straight lines intersect as shown. What is the value of a + b + c + d?

a)

180°

b)

360°

c)

540°

d)

720°

e)

900°

48.

The ancient scriptural language of India is Sanskrit. It has 33 consonants and each consonant can have one of 16 sounds following, like vowels., etc. For example, p can have vowels to form pa or pi or pu. A syllable is one of these or one of these with a final consonant, for example, pat, pit or put. How many possible syllables are there in Sanskrit?

a)

518

b)

8288

c)

17424

d)

17952

e)

18561

49.

If 5x – y = 18 and 5y – x = 12, what is the value of x – y?

a)

0

b)

1

c)

3

d)

6

e)

9

50.

Following the pattern in the first three figures below, how many small triangles are there in the 5th figure?

a)

A 75

b)

B 96

c)

C 150

d)

D 192

e)

E 216

51.

1. 98 + 198 + 298 + 398 + 498

a)

A 1401

b)

B 1490

c)

C 1500

d)

D 1510

e)

E 1590

52.

600000 – 375072

a)

335038

b)

234028

c)

224928

d)

321618

e)

225028

53.

3. $\frac{4}{15} + \frac{3}{11}$

a)

A $\frac{7}{26}$

b)

B $\frac{12}{165}$

c)

C $\frac{99}{161}$

d)

D $\frac{98}{315}$

e)

E $\frac{89}{165}$

54.

What is the whole number remainder when 123456789 is divided by 11?

a)

4

b)

5

c)

1

d)

3

e)

2

55.

Which of the following is not divisible by 9?

a)

A 277227722772

b)

B 1234545678

c)

C 4322344432234

d)

D 90817263542

e)

E 623637661383

56.

When using Vertically and crosswise to calculate 642 x 384, what is the result of the third step before any carry digits have been added?

a)

52

b)

54

c)

62

d)

65

e)

68

57.

One of the following shows the correct working for 329 × 989 using Nikhilam multiplication. Which one?

a)

A

b)

B

c)

C

d)

D

e)

E

58.

Work out, 12,345 ------------------- 1+2+3+4+5

a)

1

b)

823

c)

1029

d)

2469

e)

4115

59.

The devinculated form of 7321403?

a)

6718597

b)

6728607

c)

6619697

d)

6718607

e)

6718507

60.

Convert the fraction, 81/750, into a decimal.

a)

0.096

b)

0.108

c)

0.144

d)

0.154

e)

0.243

61.

$2022^2$

a)

4084884

b)

4088484

c)

4808844

d)

4480884

e)

4809484

62.

What is the Highest Common Factor of 432 and 576?

a)

9

b)

16

c)

36

d)

72

e)

144

63.

What is the Lowest Common Multiple of 432 and 576?

a)

1444

b)

1560

c)

1728

d)

3456

e)

249332

64.

What is the largest prime number less than 20 multiplied by the smallest prime more than 20?

a)

323

b)

377

c)

391

d)

437

e)

483

65.

What is the mean (average) of 8283, 8294, 8279, 8276 and 8288?

a)

8280

b)

8282

c)

8284

d)

8286

e)

8288

66.

83% of $25.00

a)

$20.75

b)

$20.50

c)

$20.15

d)

$19.75

e)

$19.35

67.

Using Nikhilam division for 24219 ÷ 897, some workings are shown below. What are the three missing digits for A, B and C?

a)

328

b)

283

c)

206

d)

308

e)

204

68.

Which is the correct digital root check for 4526 × 3724 = 16854824?

a)

A 6×4⇒24⇒6

b)

B 8×7⇒56⇒2

c)

C 8+7⇒15⇒6

d)

D 17+16⇒33⇒6

e)

E 17×16⇒263⇒2

69.

0.000125²

a)

0.000625

b)

0.00015625

c)

0.000000015625

d)

0.000000015625

e)

0.000000000625

70.

Given that 3 × 37 = 111, what is the remainder when 222 222 222 237 is divided by 37?

a)

0

b)

1

c)

4

d)

15

e)

22

71.

8 kg of flour costs $28. What is the cost of 5.2 kg of the same flour?

a)

$9.10

b)

$10.15

c)

$18.20

d)

$18.30

e)

$24.60

72.

The first five terms of a sequence are, 2, 9, 16, 23, 30,... What is the 125th term in the sequence?

a)

A 865

b)

B 870

c)

C 875

d)

D 880

e)

E 885

73.

Given that a = 12 and b = -3, find the value of, 2(a+3) - (2b-a)

a)

12

b)

24

c)

33

d)

36

e)

48

74.

Expand and simplify, x(x+2y) - y(2x-y)

a)

$x^2 + y^2$

b)

$x^2 - y^2$

c)

$x^2 + 4xy + y^2$

d)

$x^2 + 4xy - y^2$

e)

$x^2 + 2y - 2xy + y$

75.

Simplify, $8c^2d \times (4cd)^2$

a)

144c^4d^3

b)

128c^3d^2

c)

$32c^4d^3$

d)

128c^4d^3

e)

32c^3d^3

76.

What is a half of a third, plus and third of a quarter, minus a quarter of a fifth?

a)

1/2

b)

1/3

c)

1/4

d)

1/5

e)

1/6

77.

Three boys ran a race. Arjuna took 1 1/2 hours. Bhishma took 95 minutes and Nakula took 1.6 hours. What was their mean time in hours and minutes?

a)

1 hr 31 min

b)

1 hr 33 min

c)

1 hr 35 min

d)

1 hr 37 min

e)

1 hr 39 min

78.

A cyclist sets out on a long uphill ride and travels at a constant speed. At 1pm he is one third of the way up the hill and at 3pm he is three quarters of the way up. What time did he set out?

a)

A 11.24 am

b)

B 11.30 am

c)

C 11.36 am

d)

D 11.42 am

e)

E 11.48 am

79.

A factory makes 58352 grams of honey and pours equal amounts of the honey into 112 jars. Which of the following could be the number of grams of honey left over?

a)

0 g

b)

12 g

c)

14 g

d)

16 g

e)

56 g

80.

The diagram consists of three different rectangles with angles as shown. Each one touches two others. What is the size of angle x?

a)

A 82°

b)

B 88°

c)

C 90°

d)

D 92°

e)

E 98°

81.

Each edge of an equilateral triangle is 6 cm and each edge of a regular hexagon is 3 cm long. What is the ratio of the area of the triangle to the area of the hexagon?

a)

A 1:1

b)

B 2:3

c)

C 3:4

d)

D 4:5

e)

E 5:6

82.

On the circle of nine points each number is joined to every other number with a line. The two numbers on the end of each line are multiplied. How many answers will be even?

a)

A 14

b)

B 18

c)

C 22

d)

D 26

e)

E 30

83.

Suki and Sharifa each have a collection of pressed flowers. Suki has 5 times as many as Sharifa. Suki has 84 more pressed flowers than Sharifa. She will share so that each have the same number. How many will each then have?

a)

48

b)

63

c)

72

d)

84

e)

96

84.

How many rectangles of all types are in this grid?

a)

A 21

b)

B 22

c)

C 126

d)

D 167

e)

E 168

85.

Solve the equation to find the value of x. (7x/2) × ((x-1)/8) = -1

a)

-1/3

b)

1/3

c)

-7/27

d)

-2/27

e)

1/54

86.

A rectangle is divided into two rectangles with areas as shown. The length of the whole rectangle is 89 cm. What is the length marked x?

a)

49 cm

b)

51 cm

c)

54 cm

d)

55 cm

e)

57 cm

87.

Last year the cost of gas in the UK was 7p per KWh. This year the price increased by 111%. Next year, the cost is expected to rise by 100%. What is the expected cost per KWh next year?

a)

7.77p

b)

14.77p

c)

15.54p

d)

29.54p

e)

31.08p

88.

A large rectangular piece of paper measures 48 cm by 80 cm. It gets cut in half. One half piece is taken and cut in half to produce a quarter. One quarter piece is cut in half. This process is continued until there are seven cuts in total. What is the area of the smallest piece?

a)

15 cm²

b)

25 cm²

c)

30 cm²

d)

48 cm²

e)

60 cm²

89.

The unshaded region inside this regular hexagon is divided into equilateral triangles. What fraction of the whole hexagon is shaded?

a)

2/5

b)

4/9

c)

5/11

d)

1/2

e)

3/5

90.

A logo is made using five circles as shown. Each circle has a radius of 3 cm. Using the value of π as 22/7, what is the outer perimeter of the logo?

a)

22 cm

b)

31 cm

c)

37 cm

d)

44 cm

e)

98 cm

91.

11 − 1.1 + 0.11 − 0.011

a)

10.909

b)

9.099

c)

9.909

d)

9.999

e)

9.889

92.

Which of the following is not a multiple of 9?

a)

768321

b)

224433

c)

891548

d)

243756

e)

830106

93.

Which of the following is 5 less than a square number?

a)

192

b)

221

c)

254

d)

289

e)

319

94.

What is the whole number remainder when 21021 is divided by 876?

a)

0

b)

23

c)

184

d)

373

e)

873

95.

2023 has a square factor whose square root ends in 7. What is that square root?

a)

7

b)

17

c)

27

d)

37

e)

47

96.

Questions 1 - 25: Score 2 marks for each correct answer and 0 marks for each incorrect answer. 6. 7946 × 9992

a)

72986452

b)

783816432

c)

79396432

d)

74493272

e)

79466342

97.

The digital root of 673 is 7 and the digital root of 341 is 8. What is the digital root of 673 × 341?

a)

A 1

b)

B 2

c)

C 3

d)

D 4

e)

E 5

98.

What is 36.4% of $25

a)

$9.10

b)

$16.92

c)

$18.20

d)

$12.64

e)

$8.30

99.

What is the decimal equivalent of the fraction, 642/750?

a)

0.726

b)

0.856

c)

0.786

d)

0.846

e)

0.824

100.

The devinculated form of 7203451?

a)

6807359

b)

6706549

c)

6796348

d)

6797349

e)

6796448

101.

The square of a number is 18225. What is the number?

a)

A 115

b)

B 125

c)

C 135

d)

D 145

e)

E 155

102.

0.0000426 × 0.005

a)

0.00213

b)

0.000213

c)

0.0000213

d)

0.00000213

e)

0.000000213

103.

The One Day International World Cup Final took place at Narendra Modi Stadium in Ahmedabad on 19th November. It was a sell-out event. The stadium is the largest in the world and can seat 132000 people. Each ticket cost $353. What was the total amount taken from sale of tickets?

a)

$44 586 000

b)

$46 596 000

c)

$46 786 000

d)

$34 696 000

e)

$44 496 000

104.

62 2/7 - 34 5/8

a)

A 28 19/56

b)

B 27 19/56

c)

C 27 37/56

d)

D 28 19/56

e)

E 27 29/56

105.

Which fraction is the smallest?

a)

4/9

b)

5/12

c)

7/18

d)

17/36

e)

31/72

106.

Amrita buys silk cloth to make a sari. She is given a 20% discount at the store and pays 23040 Rupees. What was the original price of the cloth?

a)

A 28800 Rupees

b)

B 27648 Rupees

c)

C 18432 Rupees

d)

D 27580 Rupees

e)

E 27600 Rupees

107.

A, B and C are three digits. B and C add up to 10. A B × A C 4216 What is the value of A?

a)

2

b)

3

c)

4

d)

5

e)

6

108.

Using Flag Division (Straight division) what is the third step in the calculation of 62995 ÷ 43?

a)

(28−1×3)÷4

b)

(29−1×3)÷4

c)

(39−4×3)÷4

d)

(32−2×3)÷4

e)

(30−2×3)÷4

109.

A digital clock shows the time 15:37. In how many minutes will it be 1 O'Clock in the morning?

a)

A 437

b)

B 463

c)

C 523

d)

D 563

e)

E 623

110.

The famous artist and inventor, Leonardo da Vinci, wrote his notes in mirror writing, back to front. How many letters in this sentence would look the same in mirror writing?

a)

A 19

b)

B 20

c)

C 21

d)

D 22

e)

E 23

111.

Callisto and Europa are two moons of Jupiter with orbital periods of 408 hours and 84 hours. If they start in line, after how many hours will they be in the same position again?

a)

2040 hrs

b)

2856 hrs

c)

6582 hrs

d)

3108 hrs

e)

8568 hrs

112.

A train travels from Delhi to Bengaluru, stopping at Nagpur and Hyderabad on the way. The distance from Delhi to Hyderabad is 1661 km. From Nagpur to Bengaluru is 1656 and from Delhi to Bengaluru is 2742 km. How far is it from Nagpur to Hyderabad?

a)

A 465 km

b)

B 595 km

c)

C 715 km

d)

D 325 km

e)

E 575 km

113.

In a class of 36 children, the ratio of boys to girls is 4 : 5. If 4 boys leave and 8 girls join the class, what will then be the ratio of boys to girls?

a)

A 3 : 5

b)

B 1 : 2

c)

C 5 : 3

d)

D 2 : 3

e)

E 3 : 7

114.

If a = 6, b = -3, and c = 9, what is the value of $2c(a^2 + 9b) - 3(3c - 9b)$ ?

a)

0

b)

81

c)

162

d)

243

e)

1782

115.

$\frac{(a(3b)^3)}{(2ab)^2}$

a)

$\frac{3b^3}{2a}$

b)

(9b)/(2a)

c)

$\frac{27b^3}{2a}$

d)

(9b)/(4a)

e)

(27b)/(4a)

116.

Find the value of x in the equation, (x+1)/3 = (x-2)/6 = (x+4)/9

a)

A 5

b)

B 2

c)

C -4

d)

D -2

e)

E 4

117.

A sequence starts, 2, 8, 14, 20, 26, .... When it continues, what is the 100th number in the sequence?

a)

582

b)

588

c)

594

d)

596

e)

602

118.

A set of five different integers have a mean value of 6 and their median is 5. The smallest number is 3 and when all five are multiplied the result is 4800. What is the largest of the five numbers?

a)

9

b)

10

c)

11

d)

12

e)

15

119.

My roof has a leak so I place a 2 litre bucket on the floor to catch the drips. Each drip has a volume of 1/3 of a millilitre. A drip falls into the bucket every 3 seconds. How long does it take for the bucket to be filled? (1 litre = 1000 millilitres)

a)

2 hours

b)

3 hours

c)

4 hours

d)

5 hours

e)

6 hours

120.

Banko Supermarket sells 8 kg of flour for $5.76. Bankit Store sells 12 kg of flour for$ 6.48. How much will I save when buying 20 kg of flour at Bankit Store by comparison with buying the same amount at Banko Supermarket?

a)

$3.60

b)

$2.80

c)

$2.40

d)

$2.20

e)

$1.80

121.

A £2 coin has a diameter of 28.4 millimetres. If enough £2 coins are set out in a single row 1 kilometer long, approximately what would be the total value?

a)

A £700

b)

B £7000

c)

C £70 000

d)

D £700 000

e)

E £7 000 000

122.

I add up all the even numbers between 1 and 101. Then from my total I subtract all the odd numbers from 0 to 100. What is my answer?

a)

0

b)

50

c)

100

d)

255

e)

2525

123.

Triangle ABC is equilateral and D is the midpoint of BC. Triangle AEF is right-angled and isosceles. What is the size of angle x?

a)

A 65°

b)

B 70°

c)

C 75°

d)

D 80°

e)

E 85°

124.

Dominoes is a game played with small tiles, each with a number of spots from 0 to 9. Each tile has two halves. No two tiles are the same. A complete set of domino tiles uses all possible combinations of spots once. How many dominoes are there in a complete set?

a)

A 45

b)

B 50

c)

C 55

d)

D 65

e)

E 75

125.

What is the total number of all types?

a)

A 80

b)

B 120

c)

C 280

d)

D 360

e)

E 420

126.

What fraction of the square is shaded?

a)

1/4

b)

1/5

c)

2/9

d)

4/17

e)

4/9

127.

Images on a computer screen are made up of tiny dots called pixels. Each pixel is a square with edge length 1/96 of an inch. A certain screen has 2073600 pixels. What is its area in square inches?

a)

A 225 sq.in

b)

B 216 sq.in

c)

C 512 sq.in

d)

D 256 sq.in

e)

E 175 sq.in

128.

A rectangular field measures 48 metres by 92 metres. A barbed wire fence is to be placed around the field for which wooden posts are needed every 2 metres. How many posts are required altogether?

a)

A 126

b)

B 128

c)

C 130

d)

D 140

e)

E 144

129.

At Heathrow airport in London aeroplanes either take off or land only between 6.00 am and 11.30 pm. At 6.00 am on one day there are 380 aeroplanes parked at the airport. On that day aeroplanes land every 90 seconds and aeroplanes take off every 100 seconds. How many aeroplanes are there parked at the Heathrow at 12.30 pm on that day?

a)

A 354

b)

B 306

c)

C 454

d)

D 460

e)

E 406

130.

This shape is made from three stacked cuboids as shown. Each cuboid has a square base with edge lengths 15 cm, 10 cm and 5 cm. All three have the same height of 4 cm. What is the total surface area of the shape, including the base?

a)

480 cm²

b)

705 cm²

c)

730 cm²

d)

830 cm²

e)

930 cm²

131.

25 + 125 + 225 + 325 + 425 + 525

a)

A 1550

b)

B 1650

c)

C 1750

d)

D 1850

e)

E 1950

132.

Which of the following is divisible by 18?

a)

11274

b)

11282

c)

11286

d)

11296

e)

11312

133.

$\frac{25}{33}-\frac{2}{3}$

a)

A 23/99

b)

B 6/33

c)

C 23/30

d)

D 1/11

e)

E 19/33

134.

How many zeros are in the answer to 663663663221 ÷ 221?

a)

A 2

b)

B 3

c)

C 4

d)

D 5

e)

E 6

135.

93²

a)

8989

b)

8109

c)

8479

d)

8729

e)

8649

136.

478 x 994

a)

4723132

b)

472132

c)

476132

d)

475132

e)

475332

137.

What is the remainder when 9876543211 is divided by 9?

a)

0

b)

1

c)

3

d)

5

e)

7

138.

What is the decimal equivalent of the fraction, 23/125?

a)

0.184

b)

0.141

c)

0.168

d)

0.148

e)

0.196

139.

0.427 ÷ 0.07

a)

610

b)

61

c)

6.1

d)

0.61

e)

0.061

140.

When using Vertically and crosswise to multiply 3421 x 5233, what is the result of the 4th step before any carry digits have been added?

a)

A 20

b)

B 26

c)

C 27

d)

D 30

e)

E 32

141.

$6\overline{2}7\overline{34}+1\overline{3265}$

a)

A 75999

b)

B 85511

c)

C 64001

d)

D 64400

e)

E 65401

142.

A sequence begins 70, 105, 140, 175,... What is the 34th term in the sequence?

a)

A 1090

b)

B 1225

c)

C 1260

d)

D 1295

e)

E 1330

143.

For 24581 × 9483, one of the following answers is correct. Which one?

a)

A 233102622

b)

B 233101724

c)

C 233101715

d)

D 233101427

e)

E 233101623

144.

A rectangular football pitch has an area of 4656 m² and is 97 metres long. How wide is the pitch?

a)

A 46 m

b)

B 47 m

c)

C 48 m

d)

D 49 m

e)

E 53 m

145.

65² = 4225. Which sutra makes this calculation very easy?

a)

Proportionately

b)

By one more than the one before

c)

Vertically and crosswise

d)

All from 9 and the last from 10

e)

All the multipliers

146.

What is the mean value (average) of the following five numbers? 8.674 8.668 8.677 8.672 8.664

a)

8.669

b)

8.670

c)

8.671

d)

8.672

e)

8.673

147.

Two of the factors of the current year number, 2024, are 11 and 23. In which year will 11 and 23 next be factors?

a)

A 2058

b)

B 2113

c)

C 2197

d)

D 2263

e)

E 2277

148.

Which fraction is the largest?

a)

3/4

b)

5/8

c)

13/16

d)

25/32

e)

49/64

149.

Two odd cube numbers can be written in the cross shape, one across and one down. What is the shared digit?

a)

1

b)

2

c)

3

d)

4

e)

5

150.

The world’s largest oil tanker, called Happy Giant, carries 657800 tons of oil distributed in 46 equal sized tanks. How many tons of oil does each tank hold?

a)

1430

b)

15605

c)

14095

d)

14300

e)

14630

151.

Solve, $\frac{4-2x}{3}=\frac{3}{4}+\frac{5x}{6}$

a)

7/10

b)

7/12

c)

7/14

d)

7/16

e)

7/18

152.

$\frac{(4x)^2}{(2x)^3}$

a)

$\frac{4y^4}{x^3}$

b)

$\frac{4y^4}{x^2}$

c)

$\frac{2y^4}{x}$

d)

$\frac{16xy^2}{8x^3}$

e)

$\frac{4x^2y^4}{8x^3}$

153.

Noriko owns a dog called Scratchy-Shichan. Scratchy-Shichan has a million fleas. After treatment with anti-flee shampoo only 1% of fleas remain. How many fleas have been destroyed?

a)

900,000

b)

990,000

c)

999,000

d)

999,990

e)

999,999

154.

Which of the following is closest to 99% of 98% of 97% of $100?

a)

$94.00

b)

$94.10

c)

$94.11

d)

$94.12

e)

$94.13

155.

32 workers can harvest 12 hectares of rice paddy in 3 days. Working at the same rate, how many hectares can be harvested by 40 workers in 2 days?

a)

10

b)

12

c)

15

d)

16

e)

20

156.

In an old system of weights, 16 ounces = 1 pound, 14 pounds = 1 stone, 8 stone = 1 hundredweight and 20 hundredweight = 1 tonne. How many ounces are there in one tonne?

a)

35820

b)

35880

c)

35940

d)

35840

e)

36020

157.

A trapezium, with an area of 40.5 cm², is divided into three trapeziums of equal width, 3 cm. The smallest has an area of 10.5 cm². What is the area of the largest of the three trapeziums?

a)

13.5 cm²

b)

14.5 cm²

c)

15.5 cm²

d)

16.5 cm²

e)

17.5 cm²

158.

What is the missing value?

a)

A 72

b)

B 117

c)

C 123

d)

D 126

e)

E 148

159.

Which of the following has a value closest to 0?

a)

$\frac{1}{2}+\frac{1}{3}\times\frac{1}{4}$

b)

$\frac{1}{2}+\frac{1}{3}\div\frac{1}{4}$

c)

$\frac{1}{2}\times\frac{1}{3}\div\frac{1}{4}$

d)

$\frac{1}{2}-\frac{1}{3}\times\frac{1}{4}$

e)

$\frac{1}{2}-\frac{1}{3}\div\frac{1}{4}$

160.

In the figure all corners are 90°. What is the perimeter?

a)

A 22

b)

B 24

c)

C 26

d)

D 28

e)

E Not enough information

161.

The mean weight of 97 children in a small school is 41 kg. One more child joins the group and the mean weight increases to 41.1 kg. What is the weight of the new child?

a)

A 50.8 kg

b)

B 51.8 kg

c)

C 52.8 kg

d)

D 53.8 kg

e)

E 54.8 kg

162.

The figure shows the plan of a room measured in metres. A mouse starts at point A and takes 24 seconds to run along the edge until getting back to point A. How fast does the mouse run in kilometres per hour?

a)

0.25 km/h

b)

0.7 km/h

c)

4.8 km/h

d)

5.4 km/h

e)

6 km/h

163.

In the English Premier Division there are 20 football teams. In one season each team plays each other team twice. How many matches are there altogether in one season?

a)

A 210

b)

B 320

c)

C 380

d)

D 400

e)

E 420

164.

How many more 9s are there than zeros are in the answer to 4699972 x 9999989?

a)

0

b)

1

c)

2

d)

3

e)

4

165.

A pentagram is inscribed within a pentagon. How many triangles are in the diagram?

a)

A 10

b)

B 25

c)

C 30

d)

D 35

e)

E 40

166.

In the Yin Yan symbol the diameter of the small circles are 1/6th the diameter of the whole shape. What is the ratio of the area of the small white circle to the area of the large shaded area?

a)

A 1 : 9

b)

B 1 : 12

c)

C 1 : 17

d)

D 1 : 18

e)

E 1 : 35

167.

15 and 21 are two factors of a certain number. The number has eight factors. What is the sum of the factors?

a)

A 87

b)

B 192

c)

C 226

d)

D 384

e)

E 474

168.

Identical small cubes are put together to make a large solid cube. 240 of the small cubes each touch 4 other small cubes, face to face. How many small cubes make up the large cube?

a)

2400

b)

4800

c)

6400

d)

8000

e)

10648

169.

In the figure, BD is parallel to GE, ∠GÂB = 90°, FĜE = ĘGB = y and ĈBD = 18°. What is angle x?

a)

A 54°

b)

B 56°

c)

C 58°

d)

D 60°

e)

E 62°

170.

How many numbers larger than 60,000 and less than 80,000 are there such that the product of their digits is 42?

a)

A 18

b)

B 20

c)

C 22

d)

D 24

e)

E 26

Junior Compilation

Total questions: 170

Worksheet time: 7hrs 25mins

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