Question 1One of the following propositions is true and the othe.docx

Question 1
One of the following propositions is true and the other is false.
a) The equation has no solution in Z9.
b) The numbers is divisible by 5, for all possible integers.
State which of the two propositions is false, and give a counter-
example to prove that it is false.
Prove that the remaining proposition is true.
Question 2
Use mathematical induction to prove that is divisible by 7, for
n = 1,2,3,…
Question 3
An irregular hexagon H has vertices (1,0), (0,1), (-2,2), (-1,0),
(0,-1) and (2,-2).
a) Sketch the hexagon in the plane.
b) Using standard notation write down the elements of the
symmetry group S(H) of H, giving a brief description of the
geometric effect of each symmetry on points in the plane.
c) Compile a Cayley table for S(H).
d) Show that the set is a group under the operation . You
should state the inverse of each element in
e) State whether is isomorphic to justifying your answer
briefly.
Question 4
a) Express the complex number in polar form.
b) Calculate all the sixth roots of and express them in polar
form. In each case, use the principal value of the argument.
These sixth roots form three pairs of conjugate complex
numbers. Write down each such pair. (There is no need to give
any justification.)
(You may find it helpful to label the roots

c) Hence factorise the polynomial into polynomial factors with
real coefficients, where the factors are either linear or
quadratic. (You should give exact values for the coefficiets.)
Question 1 of 20!
5.0 Points!
With regard to the timing of school lunch in primary schools,
children who eat lunch:!
A. after recess eat better and waste less food. ! !
B. before recess utilize calories more efficiently. ! !
C. after recess eat less and nap less. ! !
D. before recess have less risk for obesity. !Reset Selection!!
Mark for Review What's This?!
Question 2 of 20!
5.0 Points!
Strategies to overcome neophobia include all of the following,
EXCEPT:!
A. exposing children to a variety of new food early. ! !
B. explaining that everyone must try one bite. ! !
C. providing ample exposure to new foods. ! !
D. offering new foods along with foods toddlers already like. !
Reset Selection!!
Question 3 of 20!
5.0 Points!
If a teacher is considering foods that will help a toddler feel
more successful, which of the
following foods should be avoided?!
A. Refried beans ! !
B. Cottage cheese ! !
C. Yogurt ! !
D. Jell-O ! Reset Selection!!

Question 4 of 20!
5.0 Points!
Which of the following is NOT a phase of menu planning?!
A. Establish broad program nutrition goals !!
B. Develop calorie ranges for each menu item ! !
C. Understand child nutrition and food program requirements !
!
D. Adapt menus to support special dietary needs or food
preferences ! Reset Selection!!
Question 5 of 20!
5.0 Points!
Which of the following meal services allow children to be
involved in the process?!
A. Family-style ! !
B. Cafeteria-style ! !
C. Restaurant-style ! !
D. Lunchbox-style ! Reset Selection!!
Question 6 of 20!
5.0 Points!
The American Academy of Pediatrics recommended which of
the following as important first
foods for breast-fed infants?!
A. Infant cereals and pureed meats !!
B. Infant cereals and pureed fruits ! !
C. Pureed fruits and pureed vegetables ! !
D. Cow’s milk or goat’s milk !Reset Selection!!
Question 7 of 20!
5.0 Points!
According to NAEYC recommendations, how often should

toddler meals and snacks be
offered?!
A. Meals and snacks should be at least 2 hours but not more
than 3 hours apart. ! !
B. Snacks should be served only when mealtimes are more
than 4 hours apart. !!
C. Snacks should be served when toddlers do not finish food at
regular mealtimes. ! !
D. Meal and snack times should be determined by the toddler’s
food requests. ! Reset
Selection!!
Question 8 of 20!
5.0 Points!
Which of the following breakfast meals (for 3-year-olds) meets
the Child and Adult Care Food
Program (CACFP) guidelines and is eligible for
reimbursement?!
A. A breakfast that includes sausage, whole-grain bread, and
1% milk ! !
B. A breakfast that includes cornflakes, sliced banana, and 1%
milk ! !
C. A breakfast that includes oatmeal, eggs, and 100% juice ! !
D. A breakfast that includes bacon, eggs, English muffin, and
water ! Reset Selection!!
Question 9 of 20!
5.0 Points!
The National Association for the Education of Young Children
recommends that foods brought in
from home to be shared with other children must consist of:!
A. whole fruits or commercially prepared packaged foods. ! !
B. foods that are in a commercial package only. ! !
C. home-baked items if they are stored and prepared properly.
! !
D. Home prepared foods that include a recipe or a list of

ingredients. ! Reset Selection!!
Question 10 of 20!
5.0 Points!
A positive eating environment includes:!
A. established routines. ! !
B. caregivers encourage children to eat more. ! !
C. serving the children just the right portion of food. ! !
D. restricting the amount of talk after the food is served. !
Reset Selection!!
Question 11 of 20!
5.0 Points!
For-profit child care programs may be eligible to participate in
the Child and Adult Care Food
Program (CACFP) if:!
A. the child care program requests to participate. ! !
B. 25% of the children qualify for free or reduced-priced
meals or subsidized child care. ! !
C. 25% of the children are special needs. ! !
D. at least 51% of families request it. ! Reset Selection!!
Question 12 of 20!
5.0 Points!
Which of the following is true about feeding infants?!
A. Infants should be fed on demand. ! !
B. A feeding schedule should be imposed. !!
C. Put infants in a crib with a bottle to help them fall asleep. !
!
D. Propping a baby with a bottle is sometimes appropriate. !
Reset Selection!!
Question 13 of 20!

5.0 Points!
Adding infant cereal to formula or breast milk in the bottle will
NOT:!
A. increase a baby’s likelihood to sleep through the night. !!
B. increase the risk of acquiring allergies. ! !
C. throw off the balance of nutrients in formula or breast milk.
! !
D. put the baby at risk for obesity. ! Reset Selection!!
Question 14 of 20!
5.0 Points!
Which of the following statements BEST describes toddler
appetites compared to infant
appetites?!
A. Toddler appetites become more sporadic compared to infant
appetites. ! !
B. Toddler appetites become more ravenous compared to
infant appetites. ! !
C. Toddler appetites are less selective compared to infant
appetites. ! !
D. Toddler appetites are similar to infant appetites. ! Reset
Selection!!
Question 15 of 20!
5.0 Points!
A teacher who uses lessons that focus on integrating healthy
eating and physical activity with
math and language arts is doing which of the following?!
A. Supporting an integrated approach to learning ! !
B. Short cutting the nutrition curriculum ! !
C. Placing math and language arts above health and nutrition
lessons ! !
D. Teaching nationally mandated curriculum ! Reset
Selection!!
Question 16 of 20!

5.0 Points!
It is important for teachers to be aware of the symptoms of
anaphylaxis because it is a(n):!
A. easily triggered allergy reaction. !!
B. life-threatening allergy reaction. !!
C. delayed allergy reaction. !!
D. overlooked allergy reaction. ! Reset Selection!!
Question 17 of 20!
5.0 Points!
The CACFP requires that snack menus include:!
A. both milk and juice. ! !
B. two components from any of the four food groups. ! !
C. a minimum of one protein and one fruit/vegetable. ! !
D. water as a choice. ! Reset Selection!!
Question 18 of 20!
5.0 Points!
Children should receive whole milk until age two for all of the
following reasons EXCEPT the:!
A. fat and cholesterol in whole milk may support neurological
development. ! !
B. fat in whole milk aids in vitamin A and D absorption. ! !
C. fat content helps support weight gain and growth. ! !
D. added protein content helps with developing bones. ! Reset
Selection!!
Question 19 of 20!
5.0 Points!
Neophobia:!
A. should be handled by not offering foods to children that
they won’t eat. ! !
B. is the fear of trying new foods. ! !

C. should be handled by forcing children to eat foods they do
not want. ! !
D. peaks between 6–8 years of age. ! Reset Selection!!
Question 20 of 20!
5.0 Points!
When introducing new fruits and vegetables in preschool:!
A. serve them frequently because it can take up to 15 to 20
exposures before children accept
new food. ! !
B. serve them individually at first, rather than combining in
soups or fruit salads. !!
C. avoid offering dips. ! !
D. serve fresh fruits as opposed to frozen or canned. ! Reset
Selection!!
Mark for Review What's This?!!
! !
! !

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