# Tests for Higher Standards in Mathematics Grade 4

**Tests for Higher Standards in Mathematics Grade 4**

**Virginia Simulation Test Enhanced Items**

NO CALCULATORS

**Computation and Estimation**

4.4a

**1.What problem has the same estimated answer as this problem?**

**29, 517 – 18,121 = ____**

A28,456 12,650

B48,989 19,345

C32,567 9,999

D81,450 69,234

4.4a

**2.Jake collected $63 on Monday, $32 on Tuesday, $87 on Wednesday, $29 on Thursday, and $46 on Friday. Estimate the total amount of money he collected. Show your work.**

**Write your answer here: ______**

4.4b

3.Multiply: 67

33

A2,111

B2,211

C2,212

D2,311

NO CALCULATORS

4.4b

**4.Add: 26,915 + 52,312 = _____**

F78,127

G78,227

H79,227

J89,227

4.4c

5.Divide:

A27

B27 R1

C34

D34 R2

4.4c

**6.What is 846 7 ?**

F102 R6

G106 R4

H120 R6

J102 R4

4.4d

**7.Dora is making mini pizzas for each of her 21 friends. She will place 5 pepperoni slices on each mini pizza. How many pepperoni slices does Dora need?**

A16 pepperoni slices

B26 pepperoni slices

C75 pepperoni slices

D105 pepperoni slices

NO CALCULATORS

4.4d

**8.Deborah ordered 16 cases of plain candy bars to sell for her softball team. Each case had 266 candy bars in it. She also ordered 350 candy bars with nuts. How many candy bars did she order in all?**

F4,156

G4,256

H4,606

J4,616

4.5a

**9.What are the first three common multiples for the numbers 3 and 6? **

A3, 6, 9

B6, 9, 12

C6, 12, 18

D6, 18, 24

4.5b

10.Subtract:

F

G

H

J

NO CALCULATORS

4.5b

**11.Which problem represents the picture below?**

A + =

B + =

C + =

D + =

NO CALCULATORS

4.5c

**12.Use the number grids to help you find the sum of 2.3 and 1.4.**

F3.0

G3.7

H4.2

J4.5

4.5c

**13.Add: 5.8 + 4.92 = _____**

A5.5

B9.37

C9.72

D10.72

NO CALCULATORS

4.5d

14.Jill walked ** of a mile to the library, and then walked **** of a mile to the movies. How much did she walk altogether? **

F of a mile

G of a mile

H of a mile

J of a mile

4.5d

15.Simon and Dee went to Funland Amusement Park. They each had $7.50 to spend. Find 2 ways (one for each person) that they could spend all of their money. Show your work.

Bumper Boats / $1.50Putt-Putt / $2.00

Batting Cage / $4.00

Go-Carts / $3.00

Skee Ball / $1.00

Air Hockey / $2.50

Write your answer here: ______

______

______

______

Number and Number Sense

4.1a

16.Which digit is in the thousands place in the numeral 968,742?

F6

G7

H8

J9

4.1b

17.Circle all of the numbers you could place in the blank to make a true statement.

3, __ 65,123 > 3,783,889

56789

4.1c

18.What is 3,445,000 rounded to the nearest hundred thousand?

F3,000,000

G3,400,000

H3,450,000

J3,500,000

4.1c

19.What is 945,876 rounded to the nearest thousand?

A900,000

B945,000

C946,000

D955,000

4.2a

20.Use the symbols >, <, and = to show the relationship between the fractions below.

?

F

G

H=

4.2a

21.Write the fractions that are less than in the box.

4.2b

22.Which of the following models represents the equivalent fractions and ?

F

G

H

J

4.2c

23.What statement is true about the fraction ?

AThe fraction means the same as two divided by one.

BThe fraction means the same as one next to two.

CThe fraction means the same as one added to another one.

DThe fraction means 1 divided by two.

4.3a

24.Which of the following is the correct expression for five and two hundred two thousandths ?

F5,202

G5.202

H5.022

J5.002

4.3a

25.Which number on the number line does the point X best represent?

A7.2

B7.3

C7.5

D7.6

4.3b

26.What range of numbers could be rounded to 1.7?

F1.60 to 1.64

G1.65 to 1.74

H1.75 to 1.79

J1.77 to 1.8

4.3c

27.Which number sentence is true?

A0.77 < 0.7

B0.05 > 0.5

C0.96 < 0.69

D0.5 < 0.53

4.3c

28.Some of the greatest shot put distances by women in the Olympics are listed in the table below. According to this table, in which year was the greatest shot put distance recorded?

Shot Put Distances

Year / Distance (meters)1968 / 11.47

1976 / 11.78

1988 / 11.7

1992 / 11.74

F1968

G1976

H1988

J1992

4.3d

29.What fraction does the shaded part of the rectangle represent? ______

What decimal does this represent? ______

4.3d

30.Which number goes in the blank?

F

G

H

J

Measurement and Geometry

4.6a

31.The scales below show the weight of the wrench. About how much does it weigh?

A35 g

B302 g

C350 g

D375 g

4.6b

32.Martin uses a 4.5 kilogram bag of dog food to feed his dog Magruder every week. How many grams of dog food is Magruder eating every week?

F45 grams

G400.5 grams

H450 grams

J4,500 grams

4.7a

33.Which item is about 2 centimeters long?

Aa book

Ba stamp

Ca table

Da dog

4.7b

34.George measured a wall that is 4 yards in length. How many feet is the same length as 4 yards?

F8 ft.

G12 ft.

H16 ft.

J24 ft.

4.8a

35.Susie needs to measure 1 cups of milk for a chocolate cake. Which of the following shows the correct amount?

A

B

C

D

4.8b

36.If you wanted to fill an empty 3-gallon bucket with paint, how many quarts of paint would you need?

F6

G12

H18

J24

4.9

37.What time was it 20 minutes ago?

A5:45

B5:30

C4:55

D4:50

4.9

38.Steve gets up at 6:30 a.m. It takes him 15 minutes to get ready for school, 10 minutes to eat breakfast, and 15 minutes to walk to the bus stop. What time does he arrive at the bus stop?

Write your answer here: ______

4.10a

39.Look at the figures below. Which represents a line?

A

B

C

D

4.10b

40.Which figure represents perpendicular lines?

Ffigure 1

Gfigure 2

Hfigure 3

Jfigure 4

4.11a

41.What happened to the trapezoid when Mrs. Jett slid it to the left and slid it down?

AIt changed shape.

BIt is congruent to the original trapezoid.

CIt is now a parallelogram.

DIt is larger than the original trapezoid.

4.11b

42.Select the correct word from the box to describe how this polygon has been moved.

reflectionrotationtranslation

Write your answer here: ______

4.11b

43.Which of the following dashed figures shows that T has been reflected over the line?

A

B

C

D

4.12a

44.Which of the following figures is a polygon?

F

G

H

J

4.12b

45.Which statement is true regarding pentagons and octagons?

AA pentagon has 5 sides, while an octagon has 8 sides.

BA pentagon has 5 sides, while an octagon has 6 sides.

CA pentagon has 6 sides and an octagon has 5 sides.

DA pentagon has 8 sides and an octagon has 5 sides.

Probability, Statistics, Patterns, Functions, and Algebra

4.13a

46.If Mark throws his marble at the group of marbles pictured below, how likely is he to hit a blue marble?

Flikely

Gunlikely

Hcertain

Jimpossible

4.13a

47.George has 5 quarters, 2 dimes, 5 nickels, and 4 pennies. All of the coins are in a bag. George will pick one coin without looking. What is the probability that George will pick a nickel? Justify your answer.

Write your answer here: ______

______

4.13b

48.Jason has 5 cards face-down on a table. He is going to pick one card.

What is the probability that he will select a card with a 2?

F

G

H

J

4.13b

49.Sean is going to spin this spinner.

Which number line shows the probability of Sean spinning a 1?

A

B

C

D

Use this graph to answer the next question.

4.14

50.What day of the week seems to be the day that some students may have been away from school all day on a field trip?

FMonday

GWednesday

HThursday

JFriday

Use this graph to answer the next question.

4.14

51.About how many total votes are represented on this graph?

A40 votes

B45 votes

C50 votes

D55 votes

4.14

52.This bar graph shows the number of swimmers in the end of season swim meets.

Which table shows the same information that is shown in the bar graph?

F

Swim Meet / Number of swimmersB/C Champs / 300

BB Champs / 350

A Champs / 220

TAGS / 100

G

Swim Meet / Number of swimmersB/C Champs / 380

BB Champs / 324

A Champs / 286

TAGS / 160

H

Swim Meet / Number of swimmersB/C Champs / 380

BB Champs / 300

A Champs / 200

TAGS / 160

J

Swim Meet / Number of swimmersB/C Champs / 325

BB Champs / 280

A Champs / 225

TAGS / 130

4.15

53.Continue the pattern. How many hearts would be in the fifth position?

A11

B12

C13

D14

4.15

54.What is done to the first number in each pair to get the second number?

First Number / Second Number20 / 5

24 / 6

28 / 7

32 / 8

Fadd 4

Gsubtract 15

Hdivide by 4

Jadd 4 and then add 1 more

4.15

55.Observe the number pattern:

7, 14, 21, 28, …

Select the true statement.

Aall numbers of the pattern are even

Ball numbers of the pattern are odd

Call numbers can be divided by seven

Dall numbers are prime numbers

4.15

56.Look at the number line. What numbers do A and B represent? How do you know?

Write your answer here: ______

______

4.16a

57.John has three numbers: 5, 6 and 8. Which of the following statements shows a true number sentence about John’s numbers?

A(5 + 6) + 8 = (5 – 6) – 8

B(5 + 6) + 8 = 5 + (6 + 8)

C(8 – 6) – 5 = 8 – (6 – 5)

D6 + 5 + 8 = 6 5 8

4.16a

58.Here is a scale. What number should Sharon put on the scale to balance it?

F3

G12

H15

J27

4.16b

59.Which statement describes this problem?

5 + (9 + 3) = (5 + 9) + 3

AThe sum will stay the same because the grouping of addends stays the same.

BThe sum will stay the same even though the grouping of addends has changed.

CThe sum will change because the grouping of addends is the same.

DThe sum will change because the grouping of addends is different.

4.16b

60.Rewrite this problem using the associative property to help you multiply this problem using mental math. Show your work and answer.

(23 2) 5 = ______

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