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WAEC QUESTIONS AND ANSWERS 2017

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    VERIFIED WAEC 2017 MATHEMATICS -THEORY & OBJ ANSWERS






    Math - Obj
    1 CBBACCCBBA
    11 ADBBAABCDB
    21 BCADBCCAAB
    31 CDCACDBACB
    41 BDABCDDCAD




    Note
    Where ever u c
    ^ it means raise to power
    / division
    * multiplication
    X normal X
    ================================
    SECTION A ANS ALL
    ================================
    1 a )
    ( y - 1 ) log 4 ^ 10 = ylog 16 ^ 10
    log 4 ^ 10 ( y - 1 )= log 16 ^ y 10
    4 ^ ( y - 1 )= 16 y
    4 ^ y - 1 = 4 ^ 2 y
    y - 1 = 2 y
    - 1 = 2 y = y
    - 1 = y
    y = - y
    1 b )
    let the actual time for 5 km /hr be t
    for 4 km /hr = 30 mint + t
    4 km /hr = 0 . 5 + t
    distance = 4 ( 0 . 5 + t)
    = 2 * 4 t
    for 5 km /hr , time = t
    distance = 5 t
    1 + 4 t= 5 t
    t= 2 hrs
    actual distance = 5 * 2 = 10 km
    ================================
    2 a )
    2 /3 ( 3 x - 5 ) - 3 /5 ( 2 x - 3 )= 3 /1
    L C M = 15
    10 ( 3 x - 5 ) - 9 ( 2 x - 3 )= 45
    30 x - 50 - 18 x + 27 = 45
    30 x - 18 x = 45 + 50 - 27
    12 x - 23 = 45
    12 x = 45 + 23
    12 x = 68
    x = 68 /12
    x = 34 /6
    x = 17 /3
    2 b )
    U ' aS = 180 - ( n + 88 )
    = 180 - n - 88 = 92 - n
    also , u ' TQ = 18 m
    80 degree + 92 - n + 180 - m= 180 degree
    80 + 92 + 180 - n - m= 180 degree
    352 - n - m= 180 degree
    - n - m= 180 - 352
    - n - m= - 172
    + ( n + m)= + 172
    m+ n = 172 dgree
    ================================
    3 a )
    Tan 23 . 6 ° = h /50
    Cross multiply
    Tan 23 . 6 ° x h / 50
    h = 50 tan 23 . 6 °
    = 21 . 844 m
    3 b )
    Area of < TRU = 45 cm ^ 2 ( Note: This ^ means Raise to power )
    A = 1 /2 bh
    45 = 1 /2 x 10 x h
    45 = 5 h
    h = 9 cm
    Area of < QTUS = 1 /2 ( QT + US ) h
    = 1 / 2 ( 6 + 16 ) 9
    = 99 cm ^ 2
    ================================
    4 a )
    T6 = 37
    T6 = a + ( 6 - 1 ) d
    T6 = a + 5 d
    a + 5 d = 37 - - - - - ( eq 1 )
    s 6 = 147
    sn= n /2 ( 2 a + ( n - 1 ) d )
    147 = 3 ( 2 a + 5 d )
    49 = 2 a + 5 d
    2 a + 5 d = 49 - - - - ( eq 2 )
    a + 5 d = 37 - - - ( eq 1 )
    2 a + 5 d = 49 - - - ( eq 2 )
    a = 12
    4 b )
    S15 = 15 / 2 ( 2 ( 12 ) + 14 d )
    S15 = 15 / 2 ( 24 + 14 d )
    from ( 1 )
    a + 5 d = 37
    12 + 5 d = 37
    5 d = 37 - 12
    5 d = 25
    d = 5
    S15 = 15 /2 ( 24 + 14 ( 15 )
    S15 = 15 /2 ( 24 + 70 )
    S15 = 15 / 2 * 94
    S15 = 15 * 42
    S15 = 630
    ================================
    5 a )
    draw
    U = 20
    B = y - 45
    S= y - 34
    B = bag
    S= shoe
    let n ( B )= y
    n ( S )= y + 11
    for bag only y - 45
    for shoe only y - 11 - 45 = y - 34
    5 b )
    y - 45 + 45 + y - 34 = 120
    2 y - 34 = 120
    2 y = 154
    y = 154 / 2
    y = 77
    number of customers who bought shoe = y + 11
    77 + 11 = 88
    5 c )
    n ( bag )= 77 customers
    probability = 77 /120
    = 0 . 642
    ================================
    SECTION B ANS 5 QUESTIONS ONLY
    ================================
    10 a )
    Sin x = 5 /13
    Using pythagoras rule
    M^ 2 = 13 ^ 2 - 5 ^ 2 (^ means Raise to power )
    M^ 2 = 169 - 25
    M ^ 2 = 144
    M = √144
    M = 12
    Hence :
    Cos x - 2 sin x / 2 tan x
    12 /13 - 2 ( 5 /13 ) / 2 ( 5 /12 )
    = 12 /13 - 10 /23 / 5 /6
    FIND LCM
    = 12 - 10 /13 / 5 /6
    = 12 /65
    10 bi)
    Considering < LMB
    /MB /^ 2 . = 12 ^ 2 - 9 . 6 ^ 2
    /MB /^ 2 = 51 . 84
    /MB / = √ 51 . 84
    /MB / = 7 . 2 m
    From < AML
    /LA /^ 2 = 2 . 8 ^ 2 + 9 . 6 ^ 2
    /LA / ^ 2 = 100
    /LA / = √100
    /LA / = 10 m
    10 bii )
    Let the angle be. θ
    From < AML
    Tanθ = 9 . 6 /2 . 8
    Tan θ = 3 . 4288
    θ = Tan ^ - 1 ( 3 . 4288 )
    = 73 . 74 °
    ================================
    13 ai)
    given
    x (*)y = x + y /2
    i ) 3 (*) 2 / 5 = 3 + 2 /5 /2
    = ( 15 + 2 /5 )* 1 /2
    = 17 /5 * 1 /2
    = 17 /10 = 1 ,7 /10
    13 aii )
    8 (*) y = 8 ^ 1 /4
    = 8 + y / 2 = 33 /4
    32 + 4 y = 66
    4 y = 66 - 32
    4 y = 34
    y = 34 /4
    y = 17 /2
    y = 8 ^ 1 / 2
    13 b )
    given DABC
    AB= (^ - 4 /6 ) and AC = ( 3 /^ - 8 )
    so AP = 1 / 2 (^ - 4 /6 )
    AP= (^ - 2 /3 )
    hence
    CP = CA + AP
    CP= - ( 3 / ^ 8 ) + (^ - 2 / 3 )
    CP = (^ - 5 / 11 )
    ================================
    8 a )
    In Table Form / Tabular form
    X = 1 ,2 ,3 ,4 ,5
    F = m+ 2 , m- 1 , 2 m- 3 , m+ 5 , 3 m- 4 = 8 m - 1
    Fx = m+ 2 , 2 m- 2 , 6 m- 9 , 4 m+ 20 , 15 m- 20 = 28 m - 9
    But x̄ ( this symbol ( x̄ ) means X bar )
    = 75 /23
    ΣFx / Σf = 75 /23 = 28 m - 9 /8 m- 1
    75 /23 = 28 m - 9 /8 m - 1
    Cross multiply
    75 ( 8 m- 1 ) = 23 ( 28 m- 9 )
    600 m - 75 = 644 m - 207
    - 75 + 207 = 644 m - 600 m
    132 = 44 m
    M = 3
    8 bi )
    In tabular form
    X = 1 ,2 ,3 ,4 ,5
    F = 5 , 2 ,3 ,8 ,5
    Cum Freq = 5 ,7 ,10 ,18 ,23
    Q 1 = ( N + 1 / 4 ) = ( 23 + 1 /4 )
    = 6
    Q 3 = ( 3 N + 1 /4 ) = ( 3 * 23 + 1 /4 )
    = 18
    Inter quarter range = Q 3 - Q 1
    = . 18 - 6
    = 12
    8 bii )
    Pr . ( at least 4 mark )
    = 8 + 3 + 2 + 5 /23
    = 18 /23
    ================================
    12 a )
    3 y ^ 2 - 5 y + 2 = 0
    y ^ 2 - 5 /3 y + 2 / 3 = 0
    y ^ 2 - 5 /3 y = - 2 /3
    y ^ 2 - 5 /3 y + (^ - 5 /6 )^ 2 = ( - ^ 5 /6 )^ 2 - 2 /3
    ( y - 5 /6 )^ 2 = 25 /36 - 2 /3
    ( y - 5 /6 )^ 2 = 25 /- 24 /36
    ( y - 5 /6 )^ 2 = 1 / 36
    ( y - 5 /6 )= + sqr 1 /36
    y = 5 /6 + 1 /6
    y = 5 + 1 /6 or 5 - 1 /6
    y = 6 /6 or 2 / 3
    y = 1 or 2 /3
    12 b )
    given
    M N = [ 2 ,3 1 ,4 ]
    hence
    [ 1 ,4 2 ,3 ] * [ m,n x ,y ] = [ 2 ,3 1 ,4 ]
    [ m + 2 n , x * 2 y ]
    [ 4 m+ 3 n , 4 x + 5 y ] = [ 2 ,3 , 1 ,4 ]
    therefore
    m+ 2 n = 2 - - - - - - ( i )
    4 m+ 3 n = 3 - - - - - - ( ii )
    from - - - - - - ( i )
    m= 2 - 2 n
    4 ( 2 - 2 n ) + 3 n = 3
    8 - 8 n + 3 n = 3
    8 - 5 n = 3
    8 - 3 = 5 n
    5 = 5 n
    n = 1
    hence
    m= 2 - 2 ( 1 )
    M= 0
    also
    x + 2 y = 1 - - - - - - ( i)
    4 x + 3 y = 4 - - - - - - ( ii )
    from - - - - - - ( iii )
    x = 1 - 2 y
    4 ( 1 - 2 y ) + 3 y = 4
    4 - 8 y + 3 y = 4
    y = 0
    therefore x = 1 - 2 ( 0 )
    x = 1
    this N = [ i i ]
    ================================
    11 a )
    8 students finished
    12 tanks in 2 /3 ( 60 ) mins
    = 40 mins
    4 student wil finish
    X tanks in 1 /3 ( 60 ) min
    = 20 mins
    X = 4 x 20 x 12 /8 x 40
    = 3 tanks
    11 b )
    L ( AB ) = 200 m | ON | = 12 cm
    r 2 = ( AN ) 2 + ( ON ) 2
    r 2 = ( 10 ) 2 + ( 12 ) 2
    r 2 = 100 + 144
    r 2 = 244
    r = Sqr 244
    r = 15 . 6 CM
    11 bii )
    L ( AB ) = 2 r sin 0 /2
    20 = 2 ( 15 . 6 ) sin 0 /2
    20 = 31 . 2 sin 0 / 2
    sin 0 /2 = 20 /31 . 2
    sin 0 /2 = 0 . 6410
    0 /2 = sin - 1 ( 0 . 6410 )
    0 /2 = 39 . 87
    0 = 2 ( 39 . 87 )
    0 = 79 . 74
    = 79 . 7 ' ( 1 d . p )
    11 bii )
    p 2 r + 0 /360 x 2 TTr
    = 2 ( 15 . 6 ) + 79 . 7 /360 x 2 x 3 x 42 x 15 . 6
    = 31 . 2 + 21 . 7
    = 52 . 9 cm
    ================================

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    Check previous page for biology answers
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    mandiho y did u do us like dis, dis year, things are oooooooh help us nah plz, ur ans use to come early dats y i like ur runs
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    Yes, just use the procedures above
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    Maths OBJ LOADING ....
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    VERIFIED WAEC 2017 AGRIC - PRACTICAL ANSWERS




    ================================

    AGRIC - PRACTICAL ANSWERS
    1 ai )
    i ) Nitrogen
    ii ) Potassium
    iii ) Phosphorus
    1 aii )
    i ) ring method
    ii ) side placing
    iii ) broad casting
    1 bi )
    i ) Control pond algae
    ii ) It is used to Enrich compost
    iii ) It is used to Block and control garden pests .
    1 bii )
    i ) For neutralizing and reduce soil acidity
    ii ) It helps in freeing up soil minerals , and making them available
    for absorption into the plant
    iii ) It is used for reducing water acidity
    1 c )
    i ) it increase organic content of the soil
    ii ) it increase soil structure
    iii ) it increase soil perforation
    ===============================
    2 ai )
    spe I
    i ) it is used for carring farm produce
    ii ) it is used for carring farm input eg fertilizer
    spe J
    i ) it is used to sharpern edges of cutlass
    ii ) it is used to straghten rough edge of farm tools
    2 aii )
    i ) store in dry and clean environment or place
    ii ) wash and clean it after used
    2 bi )
    i ) sp K - Elaeis guineensis
    ii ) sp L - Gossyplum spp
    2 bii )
    palm oil is extracted /gotten from palm fruit that is collected from the farm after collection the palm fruit seeds are removed from the bunch of the palm fruit, the seeds are then heated locally to soften the seed and fibre ,it is then passed using a prossing machine or grounded using a locall morter , the seed fibre and oil are then seperated and the oil is heated to satisfaction


    ===============================

    3 ai )
    i ) Stunted growth Galls on leaves
    ii ) It causes diseases to crops
    iii ) It decreaases the farm yield
    3 aii )
    i ) Spray with insecticides
    ii ) Uproot and burn infected plants
    3 bi )
    i ) It helps to Fix atmospheric nitrogen to the soil .
    ii ) It to control erosion on the soil
    3 bii )
    Cowpea weevil
    3 c )
    i ) It is used for food by man
    ii ) It is used for making livestock feed
    iii ) It is used for making edible oil for cooking
    iv ) The shell is used for making fire
    v ) It is used as raw materials for industries
    3 d )
    i ) sp Q - vigna unguiculata
    ii ) sp R - cocos nucifera
    ===============================
    4 ai )
    i ) Brown leghorn
    ii ) White leghorn
    iii ) Rhoda island red
    4 aii )
    i ) It is a source of protein to feed of livestocks
    ii ) It is a source of protein to man
    iii ) It is a source of income to breeders when sold
    iv ) It is a source of calcium to poultry
    4 bi )
    i ) It can be harvested by using fishing net
    ii ) It can also be harvested by using hook and line
    4 bii )
    i ) Oil
    ii ) Bone
    iii ) Scale
    4 biii )
    i ) Sundrying
    ii ) Smoking
    iii ) Salting
    iv ) Canning
    ===============================



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    VERIFIED WAEC 2017 ECONOMICS -THEORY & OBJ ANSWERS





    ECONS OBJ:
    1-10: BCDBBBCCBA
    11-20: CCCCCDCCBD
    21-30: BBCADCDBAB
    31-40: CAABBCDBDD
    41-50: BDCABBBACA





    Section A :Answer 1 question only

    2 a )
    Qd = 30 - P
    Qs = 15 + 2 P
    Demand and Supply schedule for the market :
    Please tabulate
    Price ( $ ) : 2 ,4 ,7
    Qd : 28 ,26 ,23
    Qs : 19 ,23 ,29
    Qd = 30 - P when P = 2
    Qd = 30 - 2 = 28
    Qd = 30 - P when P = 4
    Qd = 30 - 4 = 26
    Qd = 30 - P when P = 7
    Qd = 30 - 7 = 23
    tabulate again
    supply schedule
    Please tabulate
    Price ( $ ) : 2 ,4 ,7
    Qd : 28 ,26 ,23
    Qs : 19 ,23 ,29
    Qs = 15 + 2 P when P = 2
    Qs = 15 + 2 ( 2 )
    = 15 + 4 = 19
    Qs = 15 + 2 P when P = 4
    Qs = 15 + 2 ( 4 )
    = 15 + 8 = 23
    Qs = 15 + 2 P when P = 7
    Qs = 15 + 2 ( 7 )
    = 15 + 14 = 29

    2 bi )
    Equilibrium quantity
    Qd = 30 - P
    Qd = 30 - 5
    Qd = 25

    2 bii )
    At P = $ 3
    Qd= 30 - p
    Qd= 30 - 3
    Qs = 15 + 2 p
    = 15 + 2 ( 3 )
    = 15 + 6
    = 21 apples
    excess demand = 27 - 21
    = 6 apples

    2 ci )
    Tabulate
    Qd= 40 - p
    Price ( $ ) : 2 ,4 ,7
    Qd : 38 ,36 ,33

    2 cii )
    i ) it represent an increase in demand

    2 ciii )
    i ) the two schedules show that there is a corresponding increase in demand for apples for ten ( 10 ) at each price
    ================================

    [size=]Section B:Answer 3 questions only

    ================================
    3 a )
    Land is any natural resource used to
    produce goods and services. This includes
    not just land , but anything that comes from the land

    3 b )
    i ) Land is a Primary Factor of Production
    ii ) Land is a Passive Factor of Production
    iii ) Land has some Original Indestructible
    Powers

    3 c )
    i ) Land is the original sources of all material wealth : The economic
    prosperity of a country is closely linked with the richness of her natural resources.
    ii ) The quality and quantity of agricultural wealth a country depends on nature of soil, climate , rainfall . The agricultural products are the form the basis of trade and industry .
    iii ) Industry also depends upon availability raw materials and sources of power e . g coal - mines or waterfall for electricity product which are gotten from soil .
    iv ) Land provides employment : land help people of a citizen to get jobs such as farming , fishing , lumbering among others and this help to develop a nation
    ================================
    4 a )
    subsistence farming can be defined as the type of agriculture which is concerned with the production if food for the farmer and family only

    4 b )
    crop farming can be defined as an agriculture which deal with crop cash production e. G cocoa , cashew , cowoea.
    WHILE livestock farming can be defined as the rearing of domestic animals e. G pig, fish etc

    4 c )
    i ) Credit facilities
    ii ) Extension of workers
    iii ) Construction of good road
    iv ) provision of social ameninites
    ================================



    6 a )
    Inflation is the rate at which the general level of prices for goods and services is rising and, consequently , the purchasing power of currency is falling .

    6 bi )
    i ) growing economy
    ii ) expectation of inflation
    iii ) discretionary fiscal
    6 bii )
    i ) monopoly
    ii ) wage inflation
    iii ) exchange rates

    ===============================


    7a) Economic development can be defined as efforts that seek to improve the economic well-being and quality of life for a community

    7b) -dependency on agricultural sector
    -illiteracy
    -production for self-consumption

    7c)
    -Currency Strength
    The value of the U.S. dollar compared to other foreign currencies such as the yuan, yen and the pound is important even for companies that do not import or export goods. Consumers have a choice to purchase goods or services originating in the United States or in other countries. If the U.S. dollar strengthens, companies in the industry that purchase inputs from other countries are able to be more competitive in pricing. In industries that are heavily reliant on foreign raw materials and processing, such as the clothing industry, the entire sector can be lifted or depressed with a strengthening or weakening of the dollar.
    -Government Intervention
    Many industries are regulated by the government in one form or another. Government agencies such as the --Environmental Protection Agency, the Food &amp; Drug Administration or the U.S. Department of Agriculture maintain standards that all operators in an industry must follow for the safety of consumers, employees, or natural resources. Some industries are more heavily regulated than others and new laws and rules can shake up an entire industry and depress growth. For example, new child toy safety laws implemented under the Consumer Product Safety Improvement Act in 2009 threatened to wipe out many small toy producers as the requirements to test and certify the toys were cost-prohibitive to all but large toy manufacturers. Proposed changes to the Act may help alleviate the burden on small manufacturers and resellers.
    -Environmental Impact
    Economic growth in an industry can be impacted not only by the environmental effect the products or services have but also by consumers' perceptions of that impact. For example, the market for fur apparel declined drastically over the course of a few years in the 1990s when consumers perceived that raising and killing small animals for their fur was both inhumane and a poor use of land. Although the industry is once again picking up with international demand, the number of fur farmers in the country has substantially declined. If the public views an industry's products or services as being harmful or unsafe, most companies within the sector can experience a marked decline in sales quickly.
    -Overall Economic Health
    The economic state of the country
    confidence can also spur growth and development or harm it. In recessionary times, consumers begin limiting their purchases to the essentials, foregoing luxury or big-ticket items. Companies also scale back production, hiring and the development of new products and services to ensure that their finances can weather the storm. In periods of overall economic growth, these companies once again expand.



    8ai)- Increased exports.
    -Make use of surplus raw materials.

    8aii) -Restrictions on immigration
    - cross-border investment are abolished.

    8b) A common market, or single market, have advantages including consumers have more choice and lower prices.

    Disadvantages of the common market include that monopolies may be formed.

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